Takeaki Yamazaki

Researcher Information

Research funding number

• 60333150

J-Global ID

• 200901063441305982

Research Interests

• 幾何平均   非正規作用素   作用素変換   作用素不等式   作用素論   Operator Theory   

Research Areas

• Natural sciences / Basic analysis

Academic & Professional Experience

• 2016/04 - Today  Toyo UniversityFaculty of Science and Engineering教授
• 2011/04 - 2016/03  Toyo UniversityFaculty of Science and Engineering
• 2007/04 - 2011/03  - 神奈川大学 工学部 准教授
• 2006 - 2007  Kanagawa UniversityFaculty of Engineering
• 2004 - 2006  Kanagawa UniversityFaculty of Engineering
• 2000 - 2004  Kanagawa UniversityFaculty of Engineering

Education

•        -   東京理科大学理学部応用数学科
•        -   Tokyo University of Science  Graduate School of Science

Association Memberships

• 国際数理科学協会   日本数学会   

Published Papers

• Stability of AN-operators under functional calculus

  Golla Ramesh; Hiroyuki Osaka; Yoichi Udagawa; Takeaki Yamazaki

  Analysis Mathematica 49 (3) 825 - 839 2023/09 [Refereed]
  
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• Stability of AN-property for the induced Aluthge transformations

  Ramesh Golla; Hiroyuki Osaka; Yoichi Udagawa; Takeaki Yamazaki

  Linear Algebra and its Applications Elsevier BV 678 206 - 226 0024-3795 2023/08 [Refereed]
  
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• Furuta type inequalities via operator means and applications to Kadison’s type inequalities

  Jagjit Singh Matharu; Takeaki Yamazaki; Chitra Malhotra

  Annals of Functional Analysis Springer Science and Business Media LLC 13 (2) 2639-7390 2022/04 [Refereed]
  
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• The induced Aluthge transformations

  Takeaki Yamazaki

  Linear Algebra and its Applications 628 1 - 28 2021/11 [Refereed]
  
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• Dynamics Analysis Using Koopman Mode Decomposition of a Microgrid Including Virtual Synchronous Generator-Based Inverters

  Yuko Hirase; Yuki Ohara; Naoya Matsuura; Takeaki Yamazaki

  Enagies MDPI AG 15 (14) 4581 - 4581 2021/07 [Refereed]
  
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• Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators

  Kais Feki; Takeaki Yamazaki

  Mathematical Inequalities and Applications 24 (2) 405 - 420 2021/04 [Refereed]
  
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• The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results

  YAMAZAKI TAKEAKI

  Journal of Mathematical Analysis and Applications 479 (1) 531 - 545 2019/11 [Refereed]
  
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• UPPER AND LOWER BOUNDS, AND OPERATOR MONOTONICITY OF AN EXTENSION OF THE PETZ-HASEGAWA FUNCTION

  Takayuki Furuta; Masatoshi Ito; Takeaki Yamazaki; Masahiro Yanagida

  MATHEMATICAL INEQUALITIES & APPLICATIONS ELEMENT 21 (1) 155 - 164 1331-4343 2018/01 [Refereed]
  
• Some properties of weighted operator means and characterizations of interpolational means

  Yoichi Udagawa; Takeaki Yamazaki; Masahiro Yanagida

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 517 217 - 234 0024-3795 2017/03 [Refereed]
  
• Some norm inequalities for matrix means

  Rajendra Bhatia; Yongdo Lim; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 501 112 - 122 0024-3795 2016/07 [Refereed]
  
• Equivalence relations among some inequalities on operator means

  Wada, Shuhei; Yamazaki, Takeaki

  Nihonkai Mathematical Journal 27 (1-2) 1 - 15 2016/06 [Refereed]
  
• Norm inequalities for matrix geometric means of positive definite matrices

  Jun Ichi Fujii; Yuki Seo; Takeaki Yamazaki

  LINEAR & MULTILINEAR ALGEBRA TAYLOR & FRANCIS LTD 64 (3) 512 - 526 0308-1087 2016/03 [Refereed]
  
• On a family of operator means involving the power difference means

  Yoichi Udagawa; Shuhei Wada; Takeaki Yamazaki; Masahiro Yanagida

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 485 124 - 131 0024-3795 2015/11 [Refereed]
  
• Some generalized numerical radius inequalities for Hilbert space operators

  Mostafa Sattari; Mohammad Sal Moslehian; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 470 216 - 227 0024-3795 2015/04 [Refereed]
  
• Cartesian decomposition and numerical radius inequalities

  Fuad Kittaneh; Mohammad Sal Moslehian; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 471 46 - 53 0024-3795 2015/04 [Refereed]
  
• A converse of Loewner-Heinz inequality and applications to operator means

  Mitsuru Uchiyama; Takeaki Yamazaki

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ACADEMIC PRESS INC ELSEVIER SCIENCE 413 (1) 422 - 429 0022-247X 2014/05
• On some inequalities for the matrix power and Karcher means

  Yongdo Lim; Takeaki Yamazaki

  Linear Algebra and Its Applications 438 (3) 1293 - 1304 0024-3795 2013/02
• An elementary proof of arithmetic-geometric mean inequality of the weighted Riemannian mean of positive definite matrices

  Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 438 (4) 1564 - 1569 0024-3795 2013/02
• THE RIEMANNIAN MEAN AND MATRIX INEQUALITIES RELATED TO THE ANDO-HIAI INEQUALITY AND CHAOTIC ORDER

  Takeaki Yamazaki

  OPERATORS AND MATRICES ELEMENT 6 (3) 577 - 588 1846-3886 2012/09
• Geometric properties of positive definite matrices cone with respect to the Thompson metric

  Masatoshi Ito; Yuki Seo; Takeaki Yamazaki; Masahiro Yanagida

  Linear Algebra and Its Applications 435 (8) 2054 - 2064 0024-3795 2011/10
• Multi-variable weighted geometric means of positive definite matrices

  Hosoo Lee; Yongdo Lim; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 435 (2) 307 - 322 0024-3795 2011/07
• Hyponormal operators and two-isometry

  山崎 丈明; 神奈川大学工学部数学教室; 長宗雄; 北海道大学理学部数学科; 中路貴彦

  Far East J. Math. Sci. 49 (1) 111 - 119 2011/04
• On an elementary operator with w-hyponormal operator entries

  M. Cho; S. V. Djordjevic; B. P. Duggal; T. Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 433 (11-12) 2070 - 2079 0024-3795 2010/12
• Characterizations of p-hyponormal and weak hyponormal weighted composition operators

  山崎 丈明; 神奈川大学工学部数学教室; 長宗雄

  Acta Sci. Math. (Szeged) 76 (41641) 173 - 181 2010/08
• Weighted geometric mean of n-operators with n-parameters

  Changdo Jung; Hosoo Lee; Yongdo Lim; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 432 (6) 1515 - 1530 0024-3795 2010/03
• On a new construction of geometric mean of n-operators

  Changdo Jung; Hosoo Lee; Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 431 (9) 1477 - 1488 0024-3795 2009/10
• On the operator equation AB=zBA

  山崎 丈明; 神奈川大学工学部数学教室; 長宗雄; Department of Mathematics Education; Sang Myung; University Korea Jun-Ik Lee

  Sci. Math. Jpn. 69 (2) 257 - 263 2009/04
• On the operator equation AB=zBA

  Scientiae Mathematicae Japonicae 257 - 263 2009
• ON A GEOMETRIC PROPERTY OF POSITIVE DEFINITE MATRICES CONE

  Masatoshi Ito; Yuki Seo; Takeaki Yamazaki; Masahiro Yanagida

  BANACH JOURNAL OF MATHEMATICAL ANALYSIS TUSI MATHEMATICAL RESEARCH GROUP 3 (2) 64 - 76 1735-8787 2009
• A remark on support of the principal function for class a operators

  Muneo Cho; Mariko Giga; Tadasi Huruya; Takeaki Yamazaki

  INTEGRAL EQUATIONS AND OPERATOR THEORY BIRKHAUSER VERLAG AG 57 (3) 303 - 308 0378-620X 2007/03
• A remark on support of the principal function for class a operators

  Muneo Cho; Mariko Giga; Tadasi Huruya; Takeaki Yamazaki

  INTEGRAL EQUATIONS AND OPERATOR THEORY BIRKHAUSER VERLAG AG 57 (3) 303 - 308 0378-620X 2007/03
• On upper and lower bounds of the numerical radius and an equality condition

  Takeaki Yamazaki

  STUDIA MATHEMATICA POLISH ACAD SCIENCES INST MATHEMATICS 178 (1) 83 - 89 0039-3223 2007
• On upper and lower bounds for the numerical radius and an equality condition

  山崎 丈明

  Studia Math. 178 (1) 83 - 89 2007/01
• An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias

  Takeaki Yamazaki

  Linear Algebra and Its Applications 416 (2-3) 688 - 695 0024-3795 2006/07
• An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias

  Takeaki Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 416 (2-3) 688 - 695 0024-3795 2006/07
• An operator transform from class A to the class of hyponormal operators and its application

  Muneo Cho; Takeaki Yamazaki

  Integral Equations and Operator Theory 53 (4) 497 - 508 0378-620X 2005/12
• An operator transform from class A to the class of hyponormal operators and its application

  M Cho; T Yamazaki

  INTEGRAL EQUATIONS AND OPERATOR THEORY BIRKHAUSER VERLAG AG 53 (4) 497 - 508 0378-620X 2005/12
• On comparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation

  山崎 丈明; 所属なし; S.M. Patel

  Scientiae Mathematicae Japonicae 62 349 - 361 2005/04
• On conparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation

  Scientiae Mathematicae Japonicae 349--361  2005
• On comparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation

  Sci. Math. Jpn., Vol. 62 (2005) 349--361  2005
• On numerical range and norm of the generalized Aluthge transform

  日本数学会２００５年度年会, 日本大学 2005
• On the polar decomposition of the product of two operators and its applications

  山崎 丈明; 前橋工科大学工学部総合デザイン工学科; 伊藤 公智; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Integral Equations and Operator Theory 49 461 - 472 2004/04
• On the polar decomposition of the Aluthge transformation and related results

  山崎 丈明; 前橋工科大学工学部総合デザイン工学科; 伊藤 公智; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Journal of Operator Theory 51 303 - 319 2004/04
• Mosaic and principal functions of log-hyponormal operators

  山崎 丈明; 神奈川大学理学部数理; 物理学科; 長; 宗雄; 新潟大学教育学部教育学科; 古谷 正

  Integral Equations and Operator Theory 48 295 - 304 2004/04
• Mosaic and principal functions of log-hyponormal operators

  M Cho; T Huruya; T Yamazaki

  INTEGRAL EQUATIONS AND OPERATOR THEORY BIRKHAUSER VERLAG AG 48 (3) 295 - 304 0378-620X 2004/03
• On single-valued extension property and Bishop's one of class A operators

  日本数学会２００４年度年会,筑波大学,２００４年３月２９日 2004
• On the polar decomposition of the product of two operators and its applications

  Integral Equations Operator Theory, vol. 49 461 - 472 2004
• On the polar decomposition of the Aluthge transformation and related results

  J. Operator Theory, Vol. 51 303 - 319 2004
• Weakly chaotic order and its application to class A operators

  KOTAC 2004 Operator theory and its applications, Seoul National University, Korea 2004
• On the polar decomposition of the product of operators

  11th Conference of the international linear algebra society, University of Coimbra, Portugal 2004
• On some norm inequalities associated with the variance of an operator

  日本数学会２００４年度秋季総合分科会, 北海道大学 2004
• On numerical range and norm of the generalized Aluthge transform

  作用素論における作用素不等式の役割, 京都大学数理解析研究所 2004
• The iterated Aluthge transforms of a 2-by-2 matrix converge

  T Ando; T Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 375 299 - 309 0024-3795 2003/12
• On generalized numerical range of the Aluthge transformation

  M Ito; H Nakazato; K Okubo; T Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 370 147 - 161 0024-3795 2003/09
• On generalized numerical range of the Aluthge transformation

  M Ito; H Nakazato; K Okubo; T Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 370 147 - 161 0024-3795 2003/09
• Relations between two operator inequalities and their applications to paranormal operators

  山崎 丈明; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Acta Scientiarum Mathematicarum (Szeged) 69 377 - 389 2003/04
• The iterated Aluthge transforms of a $2$--by--$2$ matrix converge

  山崎 丈明; 北海道大学名誉教授; 安藤 毅

  Linear Algebra and Its Applications 357 299 - 309 2003/04
• Generalizations of results on relations between Furuta type inequalities

  山崎 丈明; 前橋工科大学工学部総合デザイン工学科; 伊藤 公智; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Acta Scientiarum Mathematicarum (Szeged) 69 853 - 862 2003/04
• On generalized numerical range of the Aluthge transformation

  作用素の構造と関連する最近の話題、京都大学数理解析研究所 2003
• The polar decomposition of the product of operators and its applications to binormal and centered operators (Structure of operators and related current topics)

  Yanagida Masahiro; Ito Masatoshi; Yamazaki Takeaki

  RIMS Kokyuroku Kyoto University 1312 67 - 86 1880-2818 2003
• On generalized numerical range of the Aluthge transformation

  日本数学会2003年度 年会、東京大学 2003
• Operator inequalities derived from new formula that Specht ratioS(1) can be expressed by generalized Kantorovich constant K(p): S(1)=e^K'(1)

  KOTAC 2003 Operator theory and its applications,Chungnam National University,２００３年６月１９日 2003
• An operator transform from class A to the class of hyponormal operators

  日本数学会２００３年度 秋季総合分科会,千葉大学,２００３年９月２４日 2003
• Relations among operator inequalities following from log Ageq log B

  日本数学会２００３年度 秋季総合分科会,千葉大学,２００３年９月２４日 2003
• Relations among operator orders and operator inequalities

  作用素不等式に関わる最近の話題,京都大学数理解析研究所,２００３年１１月１９日 2003
• An operator transform from class A to the class of hyponormal operators and its application

  作用素不等式に関わる最近の話題,京都大学数理解析研究所,２００３年１１月２０日 2003
• An operator transform from class A to the class of hyponormal operators

  第１２回関数空間セミナー,お茶の水女子大学,２００３年１２月２６日 2003
• On approximate point joint spectrum of p-hyponormal and log-hyponormal operators

  Comment. Math. Prace Mat., 43(2003) 33 - 41 2003
• Relations between two operator inequalities and their applications to paranormal operators

  Acta Sci. Math. (Szeged), 69(2003) ,377-389  2003
• Generalizations of results on relations between Furuta-type inequalities

  Acta Math Sci. (Szeged), 69(2003) ,853-862  2003
• Relations between two inequalities (B(r/2)A(p)B(r/2))(r/p+r)>= B-r and A(p)>=(A(p/2)B(r)A(p/2))(p/p+r) and their applications

  N Ito; T Yamazaki

  INTEGRAL EQUATIONS AND OPERATOR THEORY SPRINGER BASEL AG 44 (4) 442 - 450 0378-620X 2002/11
• On numerical range of the Aluthge transformations

  山崎 丈明

  Linear Algebra and its Applications 341 111 - 117 2002/06
• On numerical range of the Aluthge transformation

  山崎 丈明

  Linear Algebra and its Applications 341 111 - 117 2002/04
• On the polar decompositions of Aluthge transformation and powers of operators

  日本数学会2002年度年会、明治大学 2002
• Generalizations of results on relations between Furuta-type inequalities

  日本数学会2002年度年会、明治大学 2002
• Properties of Aluthge transformation on operator norms

  The 6th workshop on numerical range and numerical radius, Auburn University 2002
• Relations between two Furuta-type inequalities

  The 10th ILAS conference, Auburn University 2002
• On binormality of the Aluthge transformation

  日本数学会2002年度 秋季総合分科会、島根大学 2002
• On a relation between the polar decomposition and commutativity of operators

  日本数学会2002年度 秋季総合分科会、島根大学 2002
• Characterizations of log Ageq log B and normaloid operators via Heinz inequality

  Integral Equations Operator Theory, 43(2002) ,237--247  2002
• An expression of spectral radius via Aluthge transformation

  Proc. Amer. Math. Soc., 130(2002) 1131 - 1137 2002
• On numerical range of the Aluthge transformation

  T Yamazaki

  LINEAR ALGEBRA AND ITS APPLICATIONS ELSEVIER SCIENCE INC 341 111 - 117 0024-3795 2002/01
• An expression of spectral radius via aluthge transformation

  Takeaki Yamazaki

  Proceedings of the American Mathematical Society 130 (4) 1131 - 1137 0002-9939 2002
• Parallelism between Aluthge transformation and powers of operators

  山崎 丈明

  Acta Scientiarum Mathematicarum (Szeged) 67 809 - 820 2001/04
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's theorem

  第35回関数解析研究会報告集 100 - 106 2001
• Several properties of Aluthge transformation

  北海道大学数学講究録、66 1 - 6 2001
• Several properties of Aluthge transformation

  日本数学会2001年度春季総合分科会、慶応義塾大学 2001
• Order preserving operator inequalities and Aluthge transformation

  KOTAC 2001 Operator theory and its applications, Cheju National University 2001
• On numerical range of the Aluthge transformation

  日本数学会2001年度秋季総合分科会、九州大学 2001
• Relations between two operator inequalities and their applications to paranormal operators

  日本数学会2001年度秋季総合分科会、九州大学 2001
• Relations between two inequalities (B^fracr2A^pB^fracr2)^fracrp+r ge B^r and A^p ge (A^fracp2B^rA^fracp2)^fracpp+r and their applications

  日本数学会2001年度秋季総合分科会、九州大学 2001
• Relations between two operator inequalities and their applications to paranormal operators

  作用素および作用素不等式の最近の話題、京都大学数理解析研究所 2001
• On numerical range and polar decomposition of the Aluthge transformation

  作用素および作用素不等式の最近の話題、京都大学数理解析研究所 2001
• Relations between two inequalities (B^fracr2A^pB^fracr2)^fracrp+r ge B^r and A^p ge (A^fracp2B^rA^fracp2)^fracpp+r and their applications

  作用素および作用素不等式の最近の話題、京都大学数理解析研究所 2001
• parallelism between Aluthge transformation and powers of operators

  Acta Sci. Math. (Szeged),67(2001) 809 - 820 2001
• Several properties on Aluthge transformation (Development of Operator Theory and Problems)

  Yamazaki Takeaki

  RIMS Kokyuroku Kyoto University 1189 93 - 104 1880-2818 2001
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators

  山崎 丈明

  Mathematical Inequalities and Applications 3 97 - 104 2000/04
• A further generalization of paranormal operators

  山崎 丈明; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Scientiae Mathematicae 3 23 - 32 2000/04
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  山崎 丈明; 東京理科大学大学院理学研究科; 橋本 雅史

  Scientiae Mathematicae 3 127 - 136 2000/04
• An extension of Specht's theorem via Kantorovich inequality and related results

  YAMAZAKI T.

  Math. Inequal. Appl. 3 89 - 96 2000/04
• Further characterizations of chaotic order via Specht's ratio

  山崎 丈明

  Mathematical Inequalities and Applications 3 259 - 268 2000/04
• A characterization of log-hyponormal operators via p-paranormality

  山崎 丈明; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Scientiae Mathematicae 3 19 - 22 2000/04
• Characterizations of chaoric order associated with Kantorovich inequality

  Proceedings of KOTAC 2000、3 151 - 162 2000
• a characterization of log-hyponormal operators via p-paranormality

  Scientiae Mathematicae vol.3 19 - 22 2000
• An extension of Specht's theorem via Kantorovich inequality and related results

  Mathematical Inequalities and Applications vol.3 89 - 96 2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  Scientiae Mathematicae.Vol.3 127 - 136 2000
• Further extension of characterizations of chaotic order associated with Kantorovich type inequalities

  数理解析研究所講究録、1144 147 - 162 2000
• Extensions of paranormal operators and their properties

  数理解析研究所講究録、1144 137 - 146 2000
• A further generalization of paranormal operators

  Scientiae Mathematicae vol.3 23 - 32 2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  北海道大学数学講究録,62 13 - 18 2000
• Priperties on several classis including log-hyponormal operators

  北海道大学数学講究録,62 7 - 12 2000
• On powers of p-hyponormal and log-hyponormal operators

  北海道大学数学講究録,62 1 - 6 2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  Proceedings of KOTAC 2000、3 163 - 170 2000
• Order prederving operator inequalities and related results

  「作用素論・作用素環論」研究集会報告集 1 - 9 2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators

  数理解析研究所講究録,1144 127 - 136 2000
• Recent applications of order preserving operator inequalities

  神楽坂解析セミナー、東京理科大学 2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators

  作用素の不等式とその周辺、京都大学理数解析研究所 2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  作用素の不等式とその周辺、京都大学理数解析研究所 2000
• Extensions of paranormal operators and their properties

  作用素の不等式とその周辺、京都大学理数解析研究所 2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators,

  日本数学会2000年度秋季総合分科会、早稲田大学 2000
• Extensions of paranormal operators and their properties,

  日本数学会2000年度秋季総合分科会、早稲田大学 2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities (Operator Inequalities and Related Area)

  Hashimoto Masashi; Yanagida Masahiro; Yamazaki Takeaki

  RIMS Kokyuroku Kyoto University 1144 147 - 162 1880-2818 2000
• Further characterizations of chaotic order via Specht's ratio

  Math.Inequal.Appl. 2000
• Order preserving operator function via Furuta inequality "A >= B >= 0 ensures (A(r/2) A(p) A(r/2)) (1+r/p+r) >= (A(r/2)B(p)A(r/2)) (1+r/p+r) for p >= 1 and r >= 0"

  T Furuta; T Yamazaki; M Yanagida

  OPERATOR THEORY AND INTERPOLATION BIRKHAUSER VERLAG AG 115 185 - 194 2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  KOTAC International Conference 2000, Operator Theory and Its Applications,成均館大学 2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  第35回関数解析研究会、国立オリンピック記念青少年総合センター 2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  日本数学会2000年度秋季総合分科会、京都大学 2000
• Several properties on Aluthge transformation

  作用素論の発展と諸問題、京都大学数理解析研究所 2000
• Order prederving operator inequalities and related results

  「作用素論・作用素環論」研究修集会、神奈川大学 2000
• Several properties of Aluthge transformation

  第9回関数空間セミナー、お茶の水女子大学 2000
• On powers of class A( ) operators including p-hyponormal and log-hyponormal Operators

  Mathematical Inequalities and Applications vol.3 97 - 104 2000
• Characterizations of chaotic order associated with Kantorovich inequality

  山崎 丈明; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Scientiae Mathematicae 2 37 - 50 1999/04
• Extensions of the results on p-hyponormal and log-hyponormal operators by Aluthge and Wang

  YAMAZAKI T.

  SUT J. Math. 35 139 - 148 1999/04
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality

  山崎 丈明

  Mathematical Inequalities and Applications 2 473 - 477 1999/04
• Simplified proof of characterization of chaotic order via Specht's ratio

  Scientiae Mathematicae vol.2 63 - 64 1999
• Extensions of teh results on p-hyponormal and log-hyponormal operators by Aluthge and Wang

  SUT Journal of Mathematics vol.35 139 - 148 1999
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality

  Mathematical Inequalities and Applications vol.2 473 - 477 1999
• Characterizations of chaotic Order assosciated with Kantorovich inequality

  Scientiae Mathematicae vol.2 37 - 50 1999
• A subclass of paranormal including class of log-hyponormal and several related classes (Operator Inequalities and related topics)

  Yamazaki Takeaki; Ito Masatoshi; Furuta Takayuki

  RIMS Kokyuroku Kyoto University 1080 41 - 55 1880-2818 1999
• Characterizations of chaotic order associated with Kantorovich inequality

  北海道大学数学講究録、57 67 - 72 1999
• Characterizations of chaoric order associated with Kantorovich inequality

  北海道大学数学講究録、57 67 - 72 1999
• A subclass of paranormal including class of log-hyponormal and several related classes

  北海道大学数学講究録、57 61 - 66 1999
• Characterizations of chaoric order associated with Kantorovich inequality

  数理解析研究講究録、1080 19 - 35 1999
• A characterization of chaotic order associated with Kantorovich inequality ・

  日本数学会1999年度春季総合分科会、学習院大学 1999
• A simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality

  日本数学会1999年度春季総合分科会、学習院大学 1999
• Order preserving operator inequalities and their recent applications

  神楽坂解析セミナー、東京理科大学 1999
• Extensions of the results on p-hyponormal and log-hyponormal operators by Aluthge and Wang

  日本数学会1999年度秋季総合分科会、広島大学 1999
• Properties on several classes including log-hyponormal operators

  第８回関数空間セミナー、お茶の水女子大学 1999
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  第８回関数空間セミナー、お茶の水女子大学 1999
• On powers of p-hyponormal and log-hyponormal operators

  第８回関数空間セミナー、お茶の水女子大学 1999
• Order preserving operator inequalities via Furuta inequality

  山崎 丈明; 弘前大学名誉教授; 古田 孝之; 東京理科大学理学部数理情報科学科; 柳田 昌宏

  Mathematica Japonica 48 471 - 476 1998/04
• An extension of order preserving operator inequalities

  数理解析研究講究録、1027 48 - 59 1998
• Generalized operator functions implying order preserving operator inequalities

  数理解析研究所講究録、1027 1998
• Order preserving operator function via the inequality“A>B>0 ensures(A^fracr2A^pA^fracr2)displaystyle ^frac1+rp+r> (A^fracr2B^pA^fracr2)displaystyle ^frac1+rp+r for p>1 and r>0”

  数理解析研究所講究録、1039 28 - 36 1998
• Equivalence relations among Furuta-type inequalities with negative pwoers

  Scientiae Mathematicae vol.1 223 - 229 1998
• A subclass of paranormal operators including class of log-hyponormal and several related classes

  Scientiae Mathematicae vol.1 389 - 403 1998
• On order preserving inequalities with negative powers and a related conjecture

  第３３回函数解析研究会ジュニア函数解析シンポジウム1998講究録 57 - 66 1998
• Order preserving operator inequalities via Furuta inequality

  Mathematica Japonica vol.48 471 - 476 1998
• Operator functions implying generalized Furuta inezuality

  Mathematical Inequalities and Applications vol.1 123 - 130 1998
• A subclass of paranormal including class of log-hyponormal

  第３３回函数解析研究会ジュニア函数解析シンポジウム1998講究録 123 - 136 1998
• On a conjecture related to Furuta-type inequalities with negative powers

  Nihonkai Mathematical Journal vol.9 213 - 218 1998
• Generalized operator functions implying order preserving operator inequalities

  北海道大学数学講究録、52 9 - 16 1998
• Order preserving operator inequalities via Furuta inequality

  第３２回関数解析研究会報告集 46 - 60 1998
• Order preserving inequality associated with H"older-McCarthy and Kantorovich inequalities

  第３３回函数解析研究会ジュニア函数解析シンポジウム1998講究録 67 - 80 1998
• Equivalence relations among order preserving operator inequalities and a related open problem

  北海道大学数学講究録、52 1 - 8 1998
• A conjecture on order preserving operator inequalities and related equivalence relations

  日本数学会1998年度春季総合分科会、名城大学 1998
• Generalized operator functions implying order preserving inequalities

  日本数学会1998年度春季総合分科会、名城大学 1998
• On order preserving inequalities with negative powers and a related conjecture

  第３３回函数解析研究会ジュニア函数解析シンポジウム１９９８、東京理科大学 1998
• A subclass of paranormal including class of log-hyponormal

  第３３回函数解析研究会ジュニア函数解析シンポジウム１９９８、東京理科大学 1998
• Order preserving inequality associated with H"older-McCarthy and Kantorovich inequalities

  第３３回函数解析研究会ジュニア函数解析シンポジウム１９９８、東京理科大学 1998
• A subclass of paranomal including class of log-hyponormal and severalrelated classes

  日本数学会1998年度秋季総合分科会、大阪大学 1998
• A characterization of chaotic order associated with Kantorovich inequality

  日本数学会1998年度秋季総合分科会、大阪大学 1998
• Characterizations of chaotic order associated with Kantorovich inequality

  作用素の不等式とその周辺、京都大学数理解析研究所 1998
• A subclass of paranormal including class of log-hyponormal and several related classes

  作用素の不等式とその周辺、京都大学数理解析研究所 1998
• Characterizations of chaotic order associated with Kantorovich inequality

  第７回関数空間セミナー、北海道大学 1998
• A subclass of paranormal including class of log-hyponormal and several related class

  第７回関数空間セミナー、北海道大学 1998
• Order preserving operator function via the inequality“A>B>0 ensures(A^fracr2A^pA^fracr2)displaystyle^ frac1+rp+r> (A^fracr2B^pA^fracr2)displaystyle ^frac1+rp+r for p>1 and r>0”

  応用函数解析の研究、京都大学数理解析研究所 1997
• Order preserving operator inequalities via Furuta inequality

  第３２回関数解析研究会、いこいの村涸沼 1997
• Operator functions implying order preserving inequalities,

  日本数学会1997年度秋季総合分科会、東京大学 1997
• An order preserving operator inequality

  日本数学会1997年度秋季総合分科会、東京大学 1997
• Generalized operator functions implying order preserving operator inequalities

  作用素論における不等式とその周辺、京都大学数理解析研究所 1997
• An extension of order preserving operator inequalities

  作用素論における不等式とその周辺、京都大学数理解析研究所 1997
• Equivalence relations among order preserving operator inequalities and a related open problem

  第６回関数空間セミナー、北海道大学 1997
• Generalized operator functions implying order preserving operator inequalities

  第６回関数空間セミナー、北海道大学 1997

Books etc

• 例題と演習で学ぶ 線形代数

  山崎 丈明 (Single work)培風館 2019/01
• 例題と演習で学ぶ 微分積分学

  山崎 丈明 学術図書出版社 2013/09 

  大学1～2年生で学ぶ微分積分学を演習問題を中心に解説した。
• 線形代数学-理論・技法・応用-

  山崎 丈明; 吉本 武史 学術図書出版 2011/10
• 工学を志す人の微分積分

  東京教学社 2000
• 工学を志す人の線形代数

  東京教学社 2000

Conference Activities & Talks

• The induced Aluthge sequence of compact operators  [Not invited]

  大坂博幸; 山崎丈明

  日本数学会 2024年度年会  2024/03  Oral presentation
  Download
• Induced Aluthge sequence of compact operators  [Invited]

  Takeaki Yamazaki

  2023 China-Korea-Japan International Conference on Matrix Theory with Applications & The 7th International Conference on Matrix Inequalities and Matrix Equations  2023/12  Invited oral presentation
  Download
• Induced Aluthge sequence of compact operators  [Not invited]

  山崎 丈明

  Recent Progress in Operator Theory and its Applications  2023/11  Oral presentation
• Limit of the induced Aluthge transformations  [Invited]

  Takeaki Yamazaki

  10th International Congress on Industrial and Applied Mathematics  2023/08  Invited oral presentation
  Download
• Limit of the iteration of induced Aluthge transformations of centered matrices  [Invited]

  Takeaki Yamazaki

  The 10th International Conference on Matrix Analysis and Applications  2023/08  Invited oral presentation
  Download
• Limit of iteration of the induced Aluthge transformations of centered operators  [Not invited]

  Takeaki Yamazaki

  International Workshop on Matrix Analysis and Its Applications  2023/07  Oral presentation
  Download
• Limit of the iteration of induced Aluthge transformations of centered operators  [Not invited]

  Takeaki Yamazaki

  Workshop on Operator Theory, Function Theory and Applications  2023/06  Oral presentation
  Download
• Limit of iterated induced Aluthge transformations of centered operators  [Not invited]

  大坂博幸; 山崎丈明

  2023 日本数学会 年会  2023/03  Oral presentation
  Download
• The induced Aluthge transformations  [Invited]

  Takeaki Yamazaki

  Joint Mathematics Meeting  2023/01  Invited oral presentation
  Download
• Extensions of the Aluthge transformations  [Invited]

  山崎丈明

  作用素論・作用素環論研究集会  2022/12  Invited oral presentation
  Download
• Recent research for the Aluthge transformations  [Not invited]

  山崎丈明; G. Ramesh; 大坂博幸; 宇田川陽一

  Operator means and related topics  2022/11  Oral presentation
  Download
• Stability of AN-property for the induced Aluthge transformations  [Not invited]

  宇田川陽一; 大坂博幸; 山崎丈明; GOLA, Ramesh

  日本数学会 秋季総合分科会  2022/09  Oral presentation
  Download
• The induced Aluthge transformation  [Invited]

  Takeaki Yamazaki

  International Workshop on Matrix Analysis and Its Applications  2022/06  Invited oral presentation
  Download
• Operator means and operator inequalities  [Invited]

  山崎 丈明

  日本数学会 秋季総合分科会  2021/09  Invited oral presentation
  Download
• A generalization of the Aluthge transformation via double operator integrals  [Not invited]

  山崎 丈明

  共同研究「順序を用いた作用素の構造研究と関連する話題」  2019/10  Oral presentation
  Download
• A generalization of the Aluthge transform and its properties  [Invited]

  山崎 丈明

  The 22nd International Linear Algebra Society  2019/07  Invited oral presentation
  Download
• Power monotonicity for a path of operator means  [Invited]

  YAMAZAKI TAKEAKI

  International conference on Matrix Theory and Applications  2019/05  Invited oral presentation
  Download
• An extension of the Aluthge transform via operator means  [Not invited]

  山崎 丈明

  作用素平均を利用した作用素の構造解析の研究と関連する話題  2018/10  Oral presentation
  Download
• Generalized Karcher equation, operator entropy and the Ando-Hiai ineuqlaity  [Not invited]

  YAMAZAKI TAKEAKI

  Mathematical inequalities and Applications Conference 2018  2018/07  Oral presentation
  Download
• On numerical range of a generalization of the Aluthge transform  [Not invited]

  山崎 丈明

  The 7th International Conference on Matrix Analysis and Applications  2018/06  Oral presentation
  Download
• On a generalization of the Aluthge transform in the viewpoint of the operator means  [Invited]

  山崎 丈明

  The 2018 International Workshop on Matrix Inequalities and Matrix Equations  2018/06  Invited oral presentation
  Download
• The Karcher equation, relative operator entropy and the Ando-Hiai inequality  [Not invited]

  山崎 丈明

  日本数学会 2018 年会  2018/03  Oral presentation
  Download
• Generalized Karcher equations, operator entropies, and extensions  [Invited]

  YAMAZAKI TAKEAKI

  2017 Korea-China International Conference on Matrix Theory with Applications  2017/12  Invited oral presentation
  Download
• The Karcher equation, relative operator entropy and the Ando-Hiai inequality  [Not invited]

  山崎 丈明

  BANACH空間に基づく技法による作用素論の最近の研究と関連する話題  2017/10  Oral presentation
  Download
• Upper and lower bounds, and operator monotonicity of an extension of Petz-Hasegawa functions  [Not invited]

  山崎 丈明

  日本数学会 秋季総合分科会  2017/09  Oral presentation 

  共同研究者 伊藤 公智、古田 孝之、柳田 昌宏
  Download
• Properties of weighted operator means via generalized relative operator entropy  [Invited]

  YAMAZAKI TAKEAKI

  ILAS 2017  2017/07  Invited oral presentation
  Download
• Some norm inequality for matrix means  [Not invited]

  YAMAZAKI TAKEAKI

  YT004484  2017/03  Oral presentation
  Download
• Some norm inequalities for matrix means  [Invited]

  YAMAZAKI TAKEAKI

  MATRIX THEORY AND RELATED TOPICS  2016/12  Invited oral presentation
  Download
• Some norm inequalities for matrix means  [Not invited]

  YAMAZAKI TAKEAKI

  作用素論に基づく量子情報理論の幾何学的構造に関する研究と関連する話題  2016/11  Oral presentation
  Download
• Some recent topics on operator means  [Invited]

  YAMAZAKI TAKEAKI

  YT004484  2016/09  Invited oral presentation
  Download
• Characterizations of the interpolational means and an application  [Invited]

  YAMAZAKI TAKEAKI

  20th ILAS Conference  2016/07  Invited oral presentation
  Download
• On interpolational means and an application  [Invited]

  YAMAZAKI TAKEAKI

  2016 International workshop on matrix inequalities and matrix equations  2016/06  Invited oral presentation
  Download
• Research of weighted operator means from two points of view  [Not invited]

  YAMAZAKI TAKEAKI

  順序と幾何による作用素の構造研究と関連する話題  2015/11  Oral presentation
• On properties of weighted operator means due to Palfia and Petz  [Invited]

  YAMAZAKI TAKEAKI

  作用素論・作用素環論研究集会  2015/10  Invited oral presentation
  Download
• Some properties of weighted operator means due to Palfia and Petz  [Not invited]

  UDAGAWA YOICHI; YAMAZAKI TAKEAKI; YANAGIDA MASAHIRO

  日本数学会秋季総合分科会  2015/09  Oral presentation
• Some properties of weighted operator means due to Palfia and Petz  [Invited]

  YAMAZAKI TAKEAKI

  Workshop on Quantum Information Theory and Related Topics  2015/09  Invited oral presentation
  Download
• Some operator inequalities on operator means  [Not invited]

  YAMAZAKI TAKEAKI

  Workshop on function spaces, harmonic analysis and related topics  2015/04  Oral presentation
  Download
• A family of operator means including the power, power difference and Stolarsky means  [Not invited]

  宇田川 陽一; 柳田 昌宏; 山崎 丈明; 和田 州平

  日本数学会2015年度年会  2015/03  Oral presentation
  Download
• 作用素平均の族のパラメータに関する積分について  [Not invited]

  宇田川陽一; 柳田昌宏; 山崎丈明; 和田州平

  関数解析学の研究とその応用  2015/01  Oral presentation
• 作用素平均の最近の話題について  [Not invited]

  山崎 丈明

  信州関数解析シンポジウム2014  2014/12  Invited oral presentation
  Download
• on a family of operator means involving the power difference means  [Not invited]

  宇田川 陽一; 山崎 丈明; 柳田 昌宏

  作用素の平均とその関連  2014/11  Oral presentation
• Equivalence relations among some inequalities on operator means  [Not invited]

  YAMAZAKI TAKEAKI; WADA SHUHEI

  作用素の平均とその関連  2014/11  Oral presentation
  Download
• A converse of Loewner-Heinz inequality and applications to operator means  [Not invited]

  YAMAZAKI TAKEAKI

  19th ILAS Conference  2014/08  Oral presentation
  Download
• Generalized Ando-Hiai inequality for matrix power mean  [Not invited]

  YAMAZAKI TAKEAKI

  日本数学会 2014年度年回  2014/03  Oral presentation
  Download
• On geometric mean of n-matrices and related results  [Invited]

  YAMAZAKI TAKEAKI

  The 7th Seminar on Linear Algebra and its Applications  2014/02  Keynote oral presentation
  Download
• Converses of Loewner-Heinz inequality via operator means  [Not invited]

  山崎 丈明; 島根大学総合理工学部数理; 情報システム学科; 内山; 充

  作用素単調関数と関連する話題について  2013/11 

  Loewner-Heinz の不等式の逆として内山の結果の拡張を示した。また、作用素平均への応用も発表した。
• Operator inequality and operator mean  [Not invited]

  山崎 丈明; 島根大学総合理工学部; 内山 充

  日本数学会 秋季総合分科会  2013/09
• Operator inequality and Operator mean  [Invited]

  YAMAZAKI TAKEAKI

  Mathematical Society of Japan  2013/09  Oral presentation
• On some matrix inequalities involving matrix geometric mean of several matrices  [Not invited]

  山崎 丈明

  International Conference of Linea Algebra and Applications  2013/06
• Karcher mean と matrix power mean -- これまでの発展と今後の展望 --  [Not invited]

  山崎 丈明

  作用素論・作用素環論研究集会  2012/11 

  最近話題になりつつある Karcher mean の基本的な性質と、いくつかの問題を紹介した。
• A brief introduction of the Karcher mean  [Not invited]

  山崎 丈明

  幾何学及び確率論的手法による作用素の構造解析の研究  2012/11 

  3個以上の作用素の幾何平均である、Karcher mean の簡単な紹介をした。
• On some matrix inequalities for the matrix power and Karcher means  [Not invited]

  山崎 丈明; 理学部数学科; Yongdo LIM

  日本数学会  2012/09
• Matrix inequalities which are involved with power means  [Not invited]

  山崎 丈明

  2012 NIMS Hot Topics Workshop on Positive Matrices and Operators: Recent Developments and Advances  2012/06
• On some properties of Riemannian mean  [Not invited]

  山崎 丈明

  作用素論・作用素環論研究集会  2011/11
• Riemannian mean and matrix inequalities  [Not invited]

  山崎 丈明

  17th Conference of the International Linear Algebra Society  2011/08
• Geometric properties of positive definite matrices cone with respect to the Thompson metric  [Not invited]

  山崎 丈明; 前橋工科大学工学部デザイン工学科; 伊藤公智; 芝浦工業大学工学部; 瀬尾祐貴; 東京理科大学理学部数理情報科学科; 柳田昌宏

  日本数学会  2011/03 

  Thompson metric space における幾何学的な性質を発表した。
• Properties of Riemannian mean related to Ando-Hiai inequality  [Not invited]

  山崎 丈明

  日本数学会  2011/03 

  Riemannian mean の新しい性質を示した。
• On some properties of Riemannian mean  [Not invited]

  山崎 丈明

  作用素論・作用素環論研究集会  2010/11 

  Riemannian mean の性質を調べた。
• Riemannian mean and matrix inequalities related to chaotic order and Ando-Hiai inequality  [Not invited]

  山崎 丈明

  作用素論における非可換構造の研究とその応用  2010/10 

  Riemannian mean とよばれる幾何平均の新たな性質を発表した。
• On properties of geometric mean via Riemannian metric  [Not invited]

  山崎 丈明

  日本数学会  2010/09 

  Riemannian mean のある性質の別証明を示した。
• On geometric means of n-operators  [Not invited]

  山崎 丈明

  第49回実関数論・函数解析学合同シンポジウム  2010/08 

  いくつか知られている作用素の幾何平均の性質を紹介した。
• On properties of geometric mean of n-operators via Riemannian metric  [Not invited]

  山崎 丈明

  16th Conference of the International Linear Algebra Society  2010/06 

  Riemannian mean の良い性質を紹介した。(発表場所、ピサ、イタリア)
• A generalization of geometric mean of n-operators by Ando-Li-Mathias  [Not invited]

  山崎 丈明; 韓; 理学部数学科; Hosoo Lee; 理学部数学科; Yongdo Lim

  日本数学会  2010/03 

  Ando-Li-Mathias によって定義された幾何平均を重みつき平均へ拡張した。
• On geometric mean of n-operators and its generalization  [Not invited]

  山崎 丈明

  作用素論・作用素環論研究集会  2009/11 

  n個の作用素の幾何平均とその拡張をしめした。
• On a new construction of geometric mean of n-operators  [Not invited]

  山崎 丈明

  作用素論への幾何学の応用  2009/10 

  新しい n 個の作用素の幾何平均の定義を紹介した。
• A new construction of geometric mean of n-operators  [Not invited]

  山崎 丈明

  IWOTA 2009  2009/09 

  幾何平均の新しい構成方法を紹介した。(海外発表、メキシコ)
• On a geometric property of positive definite matrices cone  [Not invited]

  山崎 丈明; 前橋工科大学工学部デザイン工学科; 伊藤公智; 芝浦工業大学工学部; 瀬尾祐貴; 東京理科大学理学部数理情報科学科; 柳田昌宏

  日本数学会  2009/03 

  positive definite matrices cone の幾何学的な性質を示した。

MISC

• SOME NORM INEQUALITIES FOR MATRIX MEANS (作用素論に基づく量子情報理論の幾何学的構造に関する研究と関連する話題)

  YAMAZAKI TAKEAKI  数理解析研究所講究録  (2033)  135  -141  2017/06
• RESEARCH OF WEIGHTED OPERATOR MEANS FROM TWO POINTS OF VIEW (Research on structure of operators by order and geometry with related topics)

  宇田川 陽一; 山崎 丈明; 柳田 昌宏  数理解析研究所講究録  1996-  54  -65  2016/04
• On a family of operator means involving the power difference means (Theory of operator means and related topics)

  Udagawa Yoichi; Wada Shuhei; Yamazaki Takeaki; Yanagida Masahiro  RIMS Kokyuroku  1935-  45  -58  2015/04
• EQUIVALENCE RELATIONS AMONG SOME INEQUALITIES ON OPERATOR MEANS (Theory of operator means and related topics)

  WADA SHUHEI; YAMAZAKI TAKEAKI  RIMS Kokyuroku  1935-  107  -113  2015/04
• CONVERSES OF LOEWNER-HEINZ INEQUALITY VIA OPERATOR MEANS (Operator monotone functions and related topics)

  YAMAZAKI TAKEAKI; UCHIYAMA MITSURU  RIMS Kokyuroku  1893-  126  -135  2014/05
• A brief introduction of the Karcher mean (Research on structures of operators via methods in geometry and probability theory)

  Yamazaki Takeaki  RIMS Kokyuroku  1839-  31  -39  2013/06
• Research on Geometric Means of Bounded Linear Operators

  Takeaki YAMAZAKI  工業技術 : 東洋大学工業技術研究所報告  (34)  58  -63  2012
• Riemannian mean and matrix inequalities related to chaotic order and Ando-Hiai inequality (Noncommutative Structure in Operator Theory and its Application)

  Yamazaki Takeaki  RIMS Kokyuroku  1737-  140  -150  2011/04
• On a new construction of geometric mean of $n$-operators (Prospects of non-commutative analysis in operator theory)

  Yamazaki Takeaki; Jung Changdo; Lee Hosoo  RIMS Kokyuroku  1678-  106  -117  2010/04
• やさしい数学を活用する (オープン・キャンパス2009)

  山崎 丈明  神奈川大学工学部報告  (48)  32  -35  2010/03
• On the operator equation AB=zBA

  Scientiae Mathematicae Japonicae  257  -263  2009
• $p$-Hyponormality of weighted composition operators (Inequalities on Linear Operators and its Applications)

  Cho Muneo; Yamazaki Takeaki  RIMS Kokyuroku  1596-  18  -24  2008/04
• A remark on support of the principal function for class a operators

  Muneo Cho; Mariko Giga; Tadasi Huruya; Takeaki Yamazaki  INTEGRAL EQUATIONS AND OPERATOR THEORY  57-  (3)  303  -308  2007/03
• Upper and lower bounds of numerical radius and an equality condition(Recent Developments in Theory of Operators and Its Applications)

  Yamazaki Takeaki  RIMS Kokyuroku  1535-  128  -134  2007/02
• On upper and lower bounds of the numerical radius and an equality condition

  Takeaki Yamazaki  Studia Mathematica  178-  (1)  83  -89  2007
• An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias

  Linear Algebra and its Applications  688--695  2006
• An extension of Kantorovich inequality to $\mathit{n}$-operators(Recent Developments in Linear Operator Theory and its Applications)

  Yamazaki Takeaki  RIMS Kokyuroku  1458-  59  -70  2005/12
• An operator transform from class A to the class of hyponormal operators and its application

  Muneo Cho; Takeaki Yamazaki  Integral Equations and Operator Theory  53-  (4)  497  -508  2005/12
• On conparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation

  Scientiae Mathematicae Japonicae  349--361  2005
• On numerical range and norm of the generalized Aluthge transform

  2005
• On Aluthge transform of operators

  YAMAZAKI Takeaki  Science reports of Research Institute for Engineering Kanagawa University.  27-  61  -67  2004/11
• On single-valued extension property and Bishop's one of class A operators

  2004
• On the polar decomposition of the product of two operators and its applications

  Integral Equations Operator Theory, vol. 49  461  -472  2004
• On the polar decomposition of the Aluthge transformation and related results

  J. Operator Theory, Vol. 51  303  -319  2004
• Mosaic and principal functions of log-hyponormal operators

  ,295-304  2004
• Weakly chaotic order and its application to class A operators

  2004
• On the polar decomposition of the product of operators

  2004
• On some norm inequalities associated with the variance of an operator

  2004
• On numerical range and norm of the generalized Aluthge transform

  2004
• The iterated Aluthge transforms of a 2-by-2 matrix converge

  T Ando; T Yamazaki  LINEAR ALGEBRA AND ITS APPLICATIONS  375-  299  -309  2003/12
• On generalized numerical range of the Aluthge transformation

  M Ito; H Nakazato; K Okubo; T Yamazaki  LINEAR ALGEBRA AND ITS APPLICATIONS  370-  147  -161  2003/09
• On generalized numerical range of the Aluthge transformation

  2003
• The polar decomposition of the operators and its applications to binormal and centered operators

  2003
• Operator inequalities derived from new formula that Specht ratioS(1) can be expressed by generalized Kantorovich constant K(p): S(1)=e^K'(1)

  2003
• An operator transform from class A to the class of hyponormal operators

  2003
• Relations among operator inequalities following from log Ageq log B

  2003
• Relations among operator orders and operator inequalities

  2003
• An operator transform from class A to the class of hyponormal operators and its application

  2003
• An operator transform from class A to the class of hyponormal operators

  2003
• On approximate point joint spectrum of p-hyponormal and log-hyponormal operators

  Comment. Math. Prace Mat., 43(2003)  33  -41  2003
• Relations between two operator inequalities and their applications to paranormal operators

  Acta Sci. Math. (Szeged), 69(2003)  ,377-389  2003
• Generalizations of results on relations between Furuta-type inequalities

  Acta Math Sci. (Szeged), 69(2003)  ,853-862  2003
• On generalized numerical range of the Aluthge transformation

  Linear Algebra Appl., 370(2003)  ,147-161  2003
• Relations between two inequalities (B(r/2)A(p)B(r/2))(r/p+r)>= B-r and A(p)>=(A(p/2)B(r)A(p/2))(p/p+r) and their applications

  N Ito; T Yamazaki  INTEGRAL EQUATIONS AND OPERATOR THEORY  44-  (4)  442  -450  2002/11
• Characterizations of log A >= log B and normaloid operators via Heinz inequality

  T Yamazaki  INTEGRAL EQUATIONS AND OPERATOR THEORY  43-  (2)  237  -247  2002/06
• Relations between two inequalities $(B^{\frac{r},{2 } }A^pB^{\frac{r},{2 } })^{\frac{r},{p+r } }\ge B^r$ and $A^p\ge (A^{\frac{p},{2 } }B^rA^{\frac{p},{2 } })^{\frac{p},{p+r } }$ and their applications (Current topics on operator theory and operator inequalities)

  Ito Masatoshi; Yamazaki Takeaki  RIMS Kokyuroku  1259-  87  -99  2002/04
• On the polar decompositions of Aluthge transformation and powers of operators

  2002
• Generalizations of results on relations between Furuta-type inequalities

  2002
• Properties of Aluthge transformation on operator norms

  The 6th workshop on numerical range and numerical radius, Auburn University  2002
• Relations between two Furuta-type inequalities

  The 10th ILAS conference, Auburn University  2002
• On binormality of the Aluthge transformation

  2002
• On a relation between the polar decomposition and commutativity of operators

  2002
• An expression of spectral radius via Aluthge transformation

  Proc. Amer. Math. Soc., 130(2002)  1131  -1137  2002
• On numerical range of the Aluthge transformation

  Linear Algebra Appl.,341(2002)  111  -117  2002
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's theorem

  100  -106  2001
• Several properties of Aluthge transformation

  1  -6  2001
• Several properties of Aluthge transformation

  2001
• Order preserving operator inequalities and Aluthge transformation

  KOTAC 2001 Operator theory and its applications, Cheju National University  2001
• On numerical range of the Aluthge transformation

  2001
• Relations between two operator inequalities and their applications to paranormal operators

  2001
• Relations between two inequalities (B^fracr2A^pB^fracr2)^fracrp+r ge B^r and A^p ge (A^fracp2B^rA^fracp2)^fracpp+r and their applications

  2001
• Relations between two operator inequalities and their applications to paranormal operators

  2001
• On numerical range and polar decomposition of the Aluthge transformation

  2001
• Relations between two inequalities (B^fracr2A^pB^fracr2)^fracrp+r ge B^r and A^p ge (A^fracp2B^rA^fracp2)^fracpp+r and their applications

  2001
• parallelism between Aluthge transformation and powers of operators

  Acta Sci. Math. (Szeged),67(2001)  809  -820  2001
• Several properties on Aluthge transformation

  93  -104  2001
• Further characterizations of chaotic order via Specht's ratio

  T Yamazaki  MATHEMATICAL INEQUALITIES & APPLICATIONS  3-  (2)  259  -268  2000/04
• Characterizations of chaoric order associated with Kantorovich inequality

  151  -162  2000
• a characterization of log-hyponormal operators via p-paranormality

  Scientiae Mathematicae vol.3  19  -22  2000
• An extension of Specht's theorem via Kantorovich inequality and related results

  T Yamazaki  MATHEMATICAL INEQUALITIES & APPLICATIONS  3-  (1)  89  -96  2000/01
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  Scientiae Mathematicae.Vol.3  127  -136  2000
• Further extension of characterizations of chaotic order associated with Kantorovich type inequalities

  147  -162  2000
• Extensions of paranormal operators and their properties

  137  -146  2000
• A further generalization of paranormal operators

  Scientiae Mathematicae vol.3  23  -32  2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  13  -18  2000
• Priperties on several classis including log-hyponormal operators

  7  -12  2000
• On powers of p-hyponormal and log-hyponormal operators

  1  -6  2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  163  -170  2000
• Order prederving operator inequalities and related results

  1  -9  2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators

  127  -136  2000
• Recent applications of order preserving operator inequalities

  2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators

  2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  2000
• Extensions of paranormal operators and their properties

  2000
• On powers of class A(k) operators including p-hyponormal and log-hyponormal operators,

  2000
• Extensions of paranormal operators and their properties,

  2000
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities,

  2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  2000
• Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio

  2000
• Several properties on Aluthge transformation

  2000
• Order prederving operator inequalities and related results

  2000
• Several properties of Aluthge transformation

  2000
• On powers of class A( ) operators including p-hyponormal and log-hyponormal Operators

  Mathematical Inequalities and Applications vol.3  97  -104  2000
• Simplified proof of characterization of chaotic order via Specht's ratio

  Scientiae Mathematicae vol.2  63  -64  1999
• Extensions of teh results on p-hyponormal and log-hyponormal operators by Aluthge and Wang

  SUT Journal of Mathematics vol.35  139  -148  1999
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality

  Mathematical Inequalities and Applications vol.2  473  -477  1999
• Characterizations of chaotic Order assosciated with Kantorovich inequality

  Scientiae Mathematicae vol.2  37  -50  1999
• A subclass of paranormal including class of log-hyponormal and several related classes

  41  -55  1999
• Characterizations of chaotic order associated with Kantorovich inequality

  67  -72  1999
• Characterizations of chaoric order associated with Kantorovich inequality

  67  -72  1999
• A subclass of paranormal including class of log-hyponormal and several related classes

  61  -66  1999
• Characterizations of chaoric order associated with Kantorovich inequality

  19  -35  1999
• Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality

  Takeaki Yamazaki  Mathematical Inequalities and Applications  2-  (3)  473  -477  1999
• Order preserving operator inequalities and their recent applications

  1999
• Extensions of the results on p-hyponormal and log-hyponormal operators by Aluthge and Wang

  1999
• Properties on several classes including log-hyponormal operators

  1999
• Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities

  1999
• On powers of p-hyponormal and log-hyponormal operators

  1999
• Order preserving operator function via the inequality (Applied Functional Analysis)

  Yanagida Masahiro; Yamazaki Takeaki; Furuta Takayuki  RIMS Kokyuroku  1039-  28  -36  1998/04
• An extension of order preserving operator inequalities

  48  -59  1998
• Generalized operator functions implying order preserving operator inequalities

  1998
• Equivalence relations among Furuta-type inequalities with negative pwoers

  Scientiae Mathematicae vol.1  223  -229  1998
• A subclass of paranormal operators including class of log-hyponormal and several related classes

  Scientiae Mathematicae vol.1  389  -403  1998
• On order preserving inequalities with negative powers and a related conjecture

  57  -66  1998
• Order preserving operator inequalities via Furuta inequality

  Mathematica Japonica vol.48  471  -476  1998
• Operator functions implying generalized Furuta inezuality

  Mathematical Inequalities and Applications vol.1  123  -130  1998
• A subclass of paranormal including class of log-hyponormal

  123  -136  1998
• On a conjecture related to Furuta-type inequalities with negative powers

  Nihonkai Mathematical Journal vol.9  213  -218  1998
• Generalized operator functions implying order preserving operator inequalities

  9  -16  1998
• Order preserving operator inequalities via Furuta inequality

  46  -60  1998
• Order preserving inequality associated with H"older-McCarthy and Kantorovich inequalities

  67  -80  1998
• Equivalence relations among order preserving operator inequalities and a related open problem

  1  -8  1998
• A conjecture on order preserving operator inequalities and related equivalence relations

  1998
• Generalized operator functions implying order preserving inequalities

  1998
• On order preserving inequalities with negative powers and a related conjecture

  1998
• A subclass of paranormal including class of log-hyponormal

  1998
• Order preserving inequality associated with H"older-McCarthy and Kantorovich inequalities

  1998
• A subclass of paranomal including class of log-hyponormal and severalrelated classes

  1998
• A characterization of chaotic order associated with Kantorovich inequality

  1998
• Characterizations of chaotic order associated with Kantorovich inequality

  1998
• A subclass of paranormal including class of log-hyponormal and several related classes

  1998
• Characterizations of chaotic order associated with Kantorovich inequality

  1998
• A subclass of paranormal including class of log-hyponormal and several related class

  1998
• Order preserving operator inequalities via Furuta inequality

  1997
• Operator functions implying order preserving inequalities,

  1997
• An order preserving operator inequality

  1997
• Generalized operator functions implying order preserving operator inequalities

  1997
• An extension of order preserving operator inequalities

  1997
• Equivalence relations among order preserving operator inequalities and a related open problem

  1997
• Generalized operator functions implying order preserving operator inequalities

  1997

Research Grants & Projects

• ヒルベルト空間上の有界線形作用素における不等式とその応用の研究

  井上円了記念研究助成金（研究の助成）

  Date (from‐to) : 2013 -2013 

  Author : 山崎 丈明
• Generalizations to Operator Theory of Shannon's inequality of Information Theory and its application

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2005 -2007 

  Author : CHO Muneo; YAMAZAKI Takeaki; SETO Michio

   

  Under the research project with title Generalizations to Operator Theory of Shannon's inequality of Information Theory and its application, Takeaki Yamazaki (Kanagawa University), Michio Seto (Shimane University) and Muneo Cho (Kanagawa University) studied for three years. In this period, we invited II Bong Jung (Professor of Kyungpook National University Korea) and Chunji Li (Professor of Northeastern University, P. R. China) and studied this problem with them. On June, 2005, Professor T, Furuta had a talk with title "Reverce inequalities associated with Tsallis relative operator entropy and their applications" at International Linear Algebra Society 12th Conference in Canada and Professor H. Araki had a talk with title An analytic extension theorem, Borchers' structure theorem and their application to half-sided modular inclusions at KOTAC2005 in Korea. On July, 2006, Professors H. Araki and M. Giga had talks with titles Super-Derivations and associated standard super-potentials and Spectrum and principal function of operators at the conference, IWOTA2006 International Workshop Operator Theory and Its Applications, in Seoul, respectively. M. Cho visited Seoul University on November, 2006 and had a talk with title Numerical ranges of some operators. On July, 2007, Professor T. Furuta had a talk with title Applications of order preserving operator inequalities at 14th Conference of the International Linear Algebra in P. R. China. By this support, we wrote 16 papers. We express our cordial thanks for this Grant.
• Research of operator inequality and spectrum using computer

  Japan Society for the Promotion of Science：Grants-in-Aid for Scientific Research

  Date (from‐to) : 2002 -2004 

  Author : CHO Muneo; FURUTA Takayuki; HURUYA Tadasi; YAMAZAKI Takeaki

   

  Under the research project with title "Research of operator inequality and spectrum using computer", Takayuki Furuta (emerutus professor of Hirosaki University), Tadasi Huruya (Professor of Niigata University), Takeaki Yamazaki (Kanagawa University) and Muneo Cho (Kanagawa University) studied for three years. In this period, we invited V.Muller (Professor of Czech Academy), Andrzej Soltysiak (Professor of Adam Mickiewicz University), Woo Young Lee (Professor of Seoul University), Il Bong Jung (Professor of Kyungpook National University) and E.Albrecht (Professor of Universitat des Saarlandes) and studied this problem with them. Cho and Huruya studied principal functions started by M.Krein and studied continuously by J.Helton, R.Howe, R.Carey, J.Pincus, D.Xia and M.Putinar, who studied it in case of hyponormal operators and semi-hyponormal operators. We extended it in case of p-hyponormal operators and showed that the principal function of the Aluthge transformation is same the original one. We made 23 papers about these results. These have been published or will be published, recently. Furuta studied operator inequalities and got characterizations of chaotic order and generalized Kantorovich constant. He also applied these to Information Theory. He wrote 16 papers about these results. These have been published or will be published, recently. Yamazaki studied spectrum of operators. He got a spectrum-invariant transformation from class A to hyponormal operators. Also he studied numerical ranges by Aluthge transformation. He wrote 10 papers about these results. These have been published or will be published, recently. By this support, we wrote 49 papers. We express our cordial thanks for this Grant.

Others

• 2024/01 Editor

  Bulletin of the Malaysian Mathematical Sciences Society (Springer)
• reviewer

  ZbMATH
• reviewer

  Mathematical Review
• Editor

  Bulletin of Mathematical Analysis and Applications
• Editor

  Annals of Functional Analysis (Springer)
• Editor

  Linear and Multilinear Algebra (Taylor & Francis)

Other link

researchmap

https://researchmap.jp/read0068166