Takeaki Yamazaki

Department of Electrical and Electronic EngineeringProfessor
Course of Electricity, Electronics and CommunicationsProfessor
Last Updated :2026/04/10

■Researcher basic information

Degree

  • 博士(理学)

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

■Career

Research History

  • Apr. 2016 - Present
    Toyo University, Faculty of Science and Engineering, 教授
  • Apr. 2011 - Mar. 2016
    Toyo University, Faculty of Science and Engineering
  • Apr. 2007 - Mar. 2011
    - 神奈川大学 工学部 准教授
  • 2006 - 2007
    Kanagawa University, Faculty of Engineering
  • 2004 - 2006
    Kanagawa University, Faculty of Engineering
  • 2000 - 2004
    Kanagawa University, Faculty 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

■Research activity information

Papers

  • On numerical range of generalized Aluthge transforms, and a generalization of the arithmetic-geometric mean inequality               
    Chafiq Benhida; Takeaki Yamazaki
    Journal of Mathematical Analysis and Applications, Apr. 2026, [Reviewed]
    Corresponding
  • Limit of iteration of the induced Aluthge transformations of centered operators
    Hiroyuki Osaka; Takeaki Yamazaki
    Transactions of the American Mathematical Society, 21 Jul. 2025, [Reviewed]
    Corresponding
  • Stability of AN-operators under functional calculus
    Golla Ramesh; Hiroyuki Osaka; Yoichi Udagawa; Takeaki Yamazaki
    Analysis Mathematica, Sep. 2023, [Reviewed]
  • Stability of AN-property for the induced Aluthge transformations
    Ramesh Golla; Hiroyuki Osaka; Yoichi Udagawa; Takeaki Yamazaki
    Linear Algebra and its Applications, Aug. 2023, [Reviewed]
    Corresponding
  • Furuta type inequalities via operator means and applications to Kadison’s type inequalities
    Jagjit Singh Matharu; Takeaki Yamazaki; Chitra Malhotra
    Annals of Functional Analysis, Apr. 2022, [Reviewed]
    Corresponding
  • The induced Aluthge transformations               
    Takeaki Yamazaki
    Linear Algebra and its Applications, Nov. 2021, [Reviewed]
    Lead, Last, Corresponding
  • Dynamics Analysis Using Koopman Mode Decomposition of a Microgrid Including Virtual Synchronous Generator-Based Inverters
    Yuko Hirase; Yuki Ohara; Naoya Matsuura; Takeaki Yamazaki
    Enagies, Jul. 2021, [Reviewed]
  • Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators               
    Kais Feki; Takeaki Yamazaki
    Mathematical Inequalities and Applications, Apr. 2021, [Reviewed]
  • The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results               
    YAMAZAKI TAKEAKI
    Journal of Mathematical Analysis and Applications, Nov. 2019, [Reviewed]
  • 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, Jan. 2018, [Reviewed]
  • Some properties of weighted operator means and characterizations of interpolational means
    Yoichi Udagawa; Takeaki Yamazaki; Masahiro Yanagida
    LINEAR ALGEBRA AND ITS APPLICATIONS, Mar. 2017, [Reviewed]
  • Some norm inequalities for matrix means
    Rajendra Bhatia; Yongdo Lim; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Jul. 2016, [Reviewed]
  • Equivalence relations among some inequalities on operator means               
    Wada, Shuhei; Yamazaki, Takeaki
    Nihonkai Mathematical Journal, Jun. 2016, [Reviewed]
  • Norm inequalities for matrix geometric means of positive definite matrices
    Jun Ichi Fujii; Yuki Seo; Takeaki Yamazaki
    LINEAR & MULTILINEAR ALGEBRA, Mar. 2016, [Reviewed]
  • On a family of operator means involving the power difference means
    Yoichi Udagawa; Shuhei Wada; Takeaki Yamazaki; Masahiro Yanagida
    LINEAR ALGEBRA AND ITS APPLICATIONS, Nov. 2015, [Reviewed]
  • Some generalized numerical radius inequalities for Hilbert space operators
    Mostafa Sattari; Mohammad Sal Moslehian; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Apr. 2015, [Reviewed]
  • Cartesian decomposition and numerical radius inequalities
    Fuad Kittaneh; Mohammad Sal Moslehian; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Apr. 2015, [Reviewed]
  • A converse of Loewner-Heinz inequality and applications to operator means
    Mitsuru Uchiyama; Takeaki Yamazaki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, May 2014
  • On some inequalities for the matrix power and Karcher means
    Yongdo Lim; Takeaki Yamazaki
    Linear Algebra and Its Applications, 01 Feb. 2013
  • 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, 15 Oct. 2011
  • Multi-variable weighted geometric means of positive definite matrices
    Hosoo Lee; Yongdo Lim; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Jul. 2011
  • 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., 01 Apr. 2011
  • On an elementary operator with w-hyponormal operator entries
    M. Cho; S. V. Djordjevic; B. P. Duggal; T. Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Dec. 2010
  • 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), 01 Aug. 2010
  • Weighted geometric mean of n-operators with n-parameters
    Changdo Jung; Hosoo Lee; Yongdo Lim; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Mar. 2010
  • On a new construction of geometric mean of n-operators
    Changdo Jung; Hosoo Lee; Takeaki Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Oct. 2009
  • 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., 01 Apr. 2009
  • On the operator equation AB=zBA               
    Scientiae Mathematicae Japonicae, 2009
  • ON A GEOMETRIC PROPERTY OF POSITIVE DEFINITE MATRICES CONE
    Masatoshi Ito; Yuki Seo; Takeaki Yamazaki; Masahiro Yanagida
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 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, Mar. 2007
  • An extension of Kantorovich inequality to n-operators via the geometric mean by Ando-Li-Mathias
    Takeaki Yamazaki
    Linear Algebra and Its Applications, 15 Jul. 2006
  • An operator transform from class A to the class of hyponormal operators and its application
    Muneo Cho; Takeaki Yamazaki
    Integral Equations and Operator Theory, Dec. 2005
  • An operator transform from class A to the class of hyponormal operators and its application
    M Cho; T Yamazaki
    INTEGRAL EQUATIONS AND OPERATOR THEORY, Dec. 2005
  • 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, 01 Apr. 2005
  • On conparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation               
    Scientiae Mathematicae Japonicae, 2005
  • On comparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation               
    Sci. Math. Jpn., Vol. 62 (2005), 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, 01 Apr. 2004
  • 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, 01 Apr. 2004
  • 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, 01 Apr. 2004
  • Mosaic and principal functions of log-hyponormal operators
    M Cho; T Huruya; T Yamazaki
    INTEGRAL EQUATIONS AND OPERATOR THEORY, Mar. 2004
  • 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, 2004
  • On the polar decomposition of the Aluthge transformation and related results               
    J. Operator Theory, Vol. 51, 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, Dec. 2003
  • On generalized numerical range of the Aluthge transformation
    M Ito; H Nakazato; K Okubo; T Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Sep. 2003
  • 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), 01 Apr. 2003
  • 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, 01 Apr. 2003
  • 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), 01 Apr. 2003
  • 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
  • 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), 2003
  • Relations between two operator inequalities and their applications to paranormal operators               
    Acta Sci. Math. (Szeged), 69(2003), 2003
  • Generalizations of results on relations between Furuta-type inequalities               
    Acta Math Sci. (Szeged), 69(2003), 2003
  • On numerical range of the Aluthge transformations               
    山崎 丈明
    Linear Algebra and its Applications, Jun. 2002
  • On numerical range of the Aluthge transformation               
    山崎 丈明
    Linear Algebra and its Applications, 01 Apr. 2002
  • 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
  • On numerical range of the Aluthge transformation
    T Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Jan. 2002
  • An expression of spectral radius via aluthge transformation
    Takeaki Yamazaki
    Proceedings of the American Mathematical Society, 2002
  • Parallelism between Aluthge transformation and powers of operators               
    山崎 丈明
    Acta Scientiarum Mathematicarum (Szeged), 01 Apr. 2001
  • 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, 2001
  • Several properties of Aluthge transformation               
    北海道大学数学講究録、66, 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), 2001
  • On powers of class A(k) operators including p-hyponormal and log-hyponormal operators               
    山崎 丈明
    Mathematical Inequalities and Applications, 01 Apr. 2000
  • 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, 01 Apr. 2000
  • 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, 01 Apr. 2000
  • Further characterizations of chaotic order via Specht's ratio               
    山崎 丈明
    Mathematical Inequalities and Applications, 01 Apr. 2000
  • 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, 01 Apr. 2000
  • Characterizations of chaoric order associated with Kantorovich inequality               
    Proceedings of KOTAC 2000、3, 2000
  • a characterization of log-hyponormal operators via p-paranormality               
    Scientiae Mathematicae vol.3, 2000
  • An extension of Specht's theorem via Kantorovich inequality and related results               
    Mathematical Inequalities and Applications vol.3, 2000
  • Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities               
    Scientiae Mathematicae.Vol.3, 2000
  • Further extension of characterizations of chaotic order associated with Kantorovich type inequalities               
    数理解析研究所講究録、1144, 2000
  • Extensions of paranormal operators and their properties               
    数理解析研究所講究録、1144, 2000
  • A further generalization of paranormal operators               
    Scientiae Mathematicae vol.3, 2000
  • Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities               
    北海道大学数学講究録,62, 2000
  • Priperties on several classis including log-hyponormal operators               
    北海道大学数学講究録,62, 2000
  • On powers of p-hyponormal and log-hyponormal operators               
    北海道大学数学講究録,62, 2000
  • Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio               
    Proceedings of KOTAC 2000、3, 2000
  • Order prederving operator inequalities and related results               
    「作用素論・作用素環論」研究集会報告集, 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, 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 characterizations of chaotic order via Specht's ratio               
    Math.Inequal.Appl., 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, 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, 01 Apr. 1999
  • Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality               
    山崎 丈明
    Mathematical Inequalities and Applications, 01 Apr. 1999
  • Simplified proof of characterization of chaotic order via Specht's ratio               
    Scientiae Mathematicae vol.2, 1999
  • Extensions of teh results on p-hyponormal and log-hyponormal operators by Aluthge and Wang               
    SUT Journal of Mathematics vol.35, 1999
  • Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality               
    Mathematical Inequalities and Applications vol.2, 1999
  • Characterizations of chaotic Order assosciated with Kantorovich inequality               
    Scientiae Mathematicae vol.2, 1999
  • Characterizations of chaotic order associated with Kantorovich inequality               
    北海道大学数学講究録、57, 1999
  • Characterizations of chaoric order associated with Kantorovich inequality               
    北海道大学数学講究録、57, 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, 1999
  • Characterizations of chaoric order associated with Kantorovich inequality               
    数理解析研究講究録、1080, 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, 01 Apr. 1998
  • An extension of order preserving operator inequalities               
    数理解析研究講究録、1027, 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, 1998
  • Equivalence relations among Furuta-type inequalities with negative pwoers               
    Scientiae Mathematicae vol.1, 1998
  • A subclass of paranormal operators including class of log-hyponormal and several related classes               
    Scientiae Mathematicae vol.1, 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, 1998
  • Order preserving operator inequalities via Furuta inequality               
    Mathematica Japonica vol.48, 1998
  • Operator functions implying generalized Furuta inezuality               
    Mathematical Inequalities and Applications vol.1, 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, 1998
  • On a conjecture related to Furuta-type inequalities with negative powers               
    Nihonkai Mathematical Journal vol.9, 1998
  • Generalized operator functions implying order preserving operator inequalities               
    北海道大学数学講究録、52, 1998
  • Order preserving operator inequalities via Furuta inequality               
    第32回関数解析研究会報告集, 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, 1998
  • Equivalence relations among order preserving operator inequalities and a related open problem               
    北海道大学数学講究録、52, 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

Misc.

  • 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, Apr. 2015
  • 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, 2012
  • 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, Mar. 2010
  • On the operator equation AB=zBA               
    Scientiae Mathematicae Japonicae, 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, Mar. 2007
  • An operator transform from class A to the class of hyponormal operators and its application
    Muneo Cho; Takeaki Yamazaki
    Integral Equations and Operator Theory, Dec. 2005
  • On conparisons of norms and the numerical ranges of an operator with its generalized Aluthge transformation               
    Scientiae Mathematicae Japonicae, 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., Nov. 2004
  • 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, 2004
  • On the polar decomposition of the Aluthge transformation and related results               
    J. Operator Theory, Vol. 51, 2004
  • Mosaic and principal functions of log-hyponormal operators               
    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, Dec. 2003
  • On generalized numerical range of the Aluthge transformation
    M Ito; H Nakazato; K Okubo; T Yamazaki
    LINEAR ALGEBRA AND ITS APPLICATIONS, Sep. 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
  • 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), 2003
  • Relations between two operator inequalities and their applications to paranormal operators               
    Acta Sci. Math. (Szeged), 69(2003), 2003
  • Generalizations of results on relations between Furuta-type inequalities               
    Acta Math Sci. (Szeged), 69(2003), 2003
  • Characterizations of log A >= log B and normaloid operators via Heinz inequality
    T Yamazaki
    INTEGRAL EQUATIONS AND OPERATOR THEORY, Jun. 2002
  • 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
  • On numerical range of the Aluthge transformation               
    Linear Algebra Appl.,341(2002), 2002
  • Order prederving operator inequalities associated with Kantorovich inequality and Specht's theorem               
    2001
  • Several properties of Aluthge transformation               
    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
  • 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), 2001
  • Several properties on Aluthge transformation               
    2001
  • Further characterizations of chaotic order via Specht's ratio
    T Yamazaki
    MATHEMATICAL INEQUALITIES & APPLICATIONS, Apr. 2000
  • Characterizations of chaoric order associated with Kantorovich inequality               
    2000
  • a characterization of log-hyponormal operators via p-paranormality               
    Scientiae Mathematicae vol.3, 2000
  • An extension of Specht's theorem via Kantorovich inequality and related results
    T Yamazaki
    MATHEMATICAL INEQUALITIES & APPLICATIONS, Jan. 2000
  • Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities               
    Scientiae Mathematicae.Vol.3, 2000
  • Further extension of characterizations of chaotic order associated with Kantorovich type inequalities               
    2000
  • Extensions of paranormal operators and their properties               
    2000
  • A further generalization of paranormal operators               
    Scientiae Mathematicae vol.3, 2000
  • Further extensions of characterizations of chaotic order associated with Kantorovich type inequalities               
    2000
  • Priperties on several classis including log-hyponormal operators               
    2000
  • On powers of p-hyponormal and log-hyponormal operators               
    2000
  • Order prederving operator inequalities associated with Kantorovich inequality and Specht's ratio               
    2000
  • Order prederving operator inequalities and related results               
    2000
  • On powers of class A(k) operators including p-hyponormal and log-hyponormal operators               
    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
  • 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, 2000
  • Simplified proof of characterization of chaotic order via Specht's ratio               
    Scientiae Mathematicae vol.2, 1999
  • Extensions of teh results on p-hyponormal and log-hyponormal operators by Aluthge and Wang               
    SUT Journal of Mathematics vol.35, 1999
  • Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality               
    Mathematical Inequalities and Applications vol.2, 1999
  • Characterizations of chaotic Order assosciated with Kantorovich inequality               
    Scientiae Mathematicae vol.2, 1999
  • A subclass of paranormal including class of log-hyponormal and several related classes               
    1999
  • Characterizations of chaotic order associated with Kantorovich inequality               
    1999
  • Characterizations of chaoric order associated with Kantorovich inequality               
    1999
  • A subclass of paranormal including class of log-hyponormal and several related classes               
    1999
  • Characterizations of chaoric order associated with Kantorovich inequality               
    1999
  • Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality
    Takeaki Yamazaki
    Mathematical Inequalities and Applications, 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, Apr. 1998
  • An extension of order preserving operator inequalities               
    1998
  • Generalized operator functions implying order preserving operator inequalities               
    1998
  • Equivalence relations among Furuta-type inequalities with negative pwoers               
    Scientiae Mathematicae vol.1, 1998
  • A subclass of paranormal operators including class of log-hyponormal and several related classes               
    Scientiae Mathematicae vol.1, 1998
  • On order preserving inequalities with negative powers and a related conjecture               
    1998
  • Order preserving operator inequalities via Furuta inequality               
    Mathematica Japonica vol.48, 1998
  • Operator functions implying generalized Furuta inezuality               
    Mathematical Inequalities and Applications vol.1, 1998
  • A subclass of paranormal including class of log-hyponormal               
    1998
  • On a conjecture related to Furuta-type inequalities with negative powers               
    Nihonkai Mathematical Journal vol.9, 1998
  • Generalized operator functions implying order preserving operator inequalities               
    1998
  • Order preserving operator inequalities via Furuta inequality               
    1998
  • Order preserving inequality associated with H"older-McCarthy and Kantorovich inequalities               
    1998
  • Equivalence relations among order preserving operator inequalities and a related open problem               
    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
  • 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
  • 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

Books and Other publications

  • 例題と演習で学ぶ 線形代数               
    山崎 丈明, Single work
    培風館, Jan. 2019, Not reviewed
  • 例題と演習で学ぶ 微分積分学               
    山崎 丈明
    学術図書出版社, 30 Sep. 2013, Not reviewed
  • 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, 20 Oct. 2011, Not reviewed
  • 工学を志す人の微分積分               
    東京教学社, 2000, Not reviewed
  • 工学を志す人の線形代数               
    東京教学社, 2000, Not reviewed

Presentations

  • Limit of iteration of the induced Aluthge transformations of centered operators               
    TAKEAKi YAYAMAZAKI
    Operator Means and Their Applications On Numerical Analysis and Quantum information, 04 Dec. 2025, [Invited]
  • On numerical range of generalized Aluthge transforms, and a generalization of the arithmetic-geometric mean inequality               
    山崎丈明
    2025年 作用素論・作用素環論研究集会, 02 Nov. 2025, [Invited]
  • On numerical range of generalized Aluthge transforms               
    山崎 丈明; Chphiq Benhida
    日本数学会秋季総合分科会, 18 Sep. 2025
  • Stability of AN-operators under functional calculus               
    Takeaki Yamazaki
    The 26th Conference of the International Linear Algebra Society, 23 Jun. 2025, [Invited]
  • On numerical range of generalized Aluthge transforms               
    Takeaki Yamazaki
    17th Workshop on Numerical Ranges and Numerical Radii, 20 Jun. 2025, [Invited]
  • Generalizations of Aluthge transform, numerical ranges and spectral radii               
    Takeaki Yamazaki
    International Conference on Matrix Analysis and Mathematical Modelling, 30 Nov. 2024, [Invited]
  • Limit of iteration of the induced Aluthge transformations of centered operators               
    山崎 丈明
    2024年 作用素論・作用素環論研究集会, 23 Nov. 2024, [Invited]
  • Generalizations of Aluthge transform, numerical ranges and spectral radii               
    Takeaki Yamazaki
    2024 International Workshop on Matrix Theory and Numerical Linear Algebra with Applications, 28 Aug. 2024, [Invited]
  • Generalizations of Aluthge transform, numerical ranges and spectral radii               
    Takeaki Yamazaki
    35th International Workshop on Operator Theory and its Applications, 14 Aug. 2024, [Invited]
  • Generalizations of Aluthge transform, numerical range and spectral radius               
    山崎 丈明
    International Workshop on Matrix Analysis and Quantum Information Theory, 06 Jun. 2024
  • The induced Aluthge sequence of compact operators               
    大坂博幸; 山崎丈明
    日本数学会 2024年度年会, 19 Mar. 2024
  • Induced Aluthge sequence of compact operators               
    Takeaki Yamazaki
    2023 China-Korea-Japan International Conference on Matrix Theory with Applications & The 7th International Conference on Matrix Inequalities and Matrix Equations, 03 Dec. 2023, [Invited]
  • Induced Aluthge sequence of compact operators               
    山崎 丈明
    Recent Progress in Operator Theory and its Applications, 08 Nov. 2023
  • Limit of the induced Aluthge transformations               
    Takeaki Yamazaki
    10th International Congress on Industrial and Applied Mathematics, 24 Aug. 2023, [Invited]
  • Limit of the iteration of induced Aluthge transformations of centered matrices               
    Takeaki Yamazaki
    The 10th International Conference on Matrix Analysis and Applications, 17 Aug. 2023, [Invited]
  • Limit of iteration of the induced Aluthge transformations of centered operators               
    Takeaki Yamazaki
    International Workshop on Matrix Analysis and Its Applications, 08 Jul. 2023
  • Limit of the iteration of induced Aluthge transformations of centered operators               
    Takeaki Yamazaki
    Workshop on Operator Theory, Function Theory and Applications, 23 Jun. 2023
  • Limit of iterated induced Aluthge transformations of centered operators               
    大坂博幸; 山崎丈明
    2023 日本数学会 年会, 17 Mar. 2023
  • The induced Aluthge transformations               
    Takeaki Yamazaki
    Joint Mathematics Meeting, 07 Jan. 2023, [Invited]
  • Extensions of the Aluthge transformations               
    山崎丈明
    作用素論・作用素環論研究集会, 11 Dec. 2022, [Invited]
  • Recent research for the Aluthge transformations               
    山崎丈明; G. Ramesh; 大坂博幸; 宇田川陽一
    Operator means and related topics, 01 Nov. 2022
  • Stability of AN-property for the induced Aluthge transformations               
    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, 15 Sep. 2022
  • The induced Aluthge transformation               
    Takeaki Yamazaki
    International Workshop on Matrix Analysis and Its Applications, 04 Jun. 2022, [Invited]
  • Operator means and operator inequalities               
    山崎 丈明
    日本数学会 秋季総合分科会, 16 Sep. 2021, [Invited]
  • A generalization of the Aluthge transformation via double operator integrals               
    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」, 24 Oct. 2019
  • A generalization of the Aluthge transform and its properties               
    山崎 丈明
    The 22nd International Linear Algebra Society, 08 Jul. 2019, [Invited]
  • Power monotonicity for a path of operator means               
    YAMAZAKI TAKEAKI
    International conference on Matrix Theory and Applications, 24 May 2019, [Invited]
  • An extension of the Aluthge transform via operator means               
    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, 25 Oct. 2018
  • Generalized Karcher equation, operator entropy and the Ando-Hiai ineuqlaity               
    YAMAZAKI TAKEAKI
    Mathematical inequalities and Applications Conference 2018, 06 Jul. 2018
  • On numerical range of a generalization of the Aluthge transform               
    山崎 丈明
    The 7th International Conference on Matrix Analysis and Applications, 23 Jun. 2018
  • On a generalization of the Aluthge transform in the viewpoint of the operator means               
    山崎 丈明
    The 2018 International Workshop on Matrix Inequalities and Matrix Equations, 10 Jun. 2018, [Invited]
  • The Karcher equation, relative operator entropy and the Ando-Hiai inequality               
    山崎 丈明
    日本数学会 2018 年会, 20 Mar. 2018
  • Generalized Karcher equations, operator entropies, and extensions               
    YAMAZAKI TAKEAKI
    2017 Korea-China International Conference on Matrix Theory with Applications, 15 Dec. 2017, [Invited]
  • The Karcher equation, relative operator entropy and the Ando-Hiai inequality               
    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, 24 Oct. 2017
  • Upper and lower bounds, and operator monotonicity of an extension of Petz-Hasegawa functions               
    山崎 丈明
    日本数学会 秋季総合分科会, 13 Sep. 2017
  • Properties of weighted operator means via generalized relative operator entropy               
    YAMAZAKI TAKEAKI
    ILAS 2017, 24 Jul. 2017, [Invited]
  • Some norm inequality for matrix means               
    YAMAZAKI TAKEAKI
    YT004484, 25 Mar. 2017
  • Some norm inequalities for matrix means               
    YAMAZAKI TAKEAKI
    MATRIX THEORY AND RELATED TOPICS, 29 Dec. 2016, [Invited]
  • Some norm inequalities for matrix means               
    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, 10 Nov. 2016
  • Some recent topics on operator means               
    YAMAZAKI TAKEAKI
    YT004484, 03 Sep. 2016, [Invited]
  • Characterizations of the interpolational means and an application               
    YAMAZAKI TAKEAKI
    20th ILAS Conference, 13 Jul. 2016, [Invited]
  • On interpolational means and an application               
    YAMAZAKI TAKEAKI
    2016 International workshop on matrix inequalities and matrix equations, 10 Jun. 2016, [Invited]
  • Research of weighted operator means from two points of view               
    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, 10 Nov. 2015
  • On properties of weighted operator means due to Palfia and Petz               
    YAMAZAKI TAKEAKI
    作用素論・作用素環論研究集会, 25 Oct. 2015, [Invited]
  • Some properties of weighted operator means due to Palfia and Petz               
    UDAGAWA YOICHI; YAMAZAKI TAKEAKI; YANAGIDA MASAHIRO
    日本数学会秋季総合分科会, 15 Sep. 2015
  • Some properties of weighted operator means due to Palfia and Petz               
    YAMAZAKI TAKEAKI
    Workshop on Quantum Information Theory and Related Topics, 01 Sep. 2015, [Invited]
  • Some operator inequalities on operator means               
    YAMAZAKI TAKEAKI
    Workshop on function spaces, harmonic analysis and related topics, 27 Apr. 2015
  • A family of operator means including the power, power difference and Stolarsky means               
    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, 22 Mar. 2015
  • 作用素平均の族のパラメータに関する積分について               
    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, 29 Jan. 2015
  • 作用素平均の最近の話題について               
    山崎 丈明
    信州関数解析シンポジウム2014, 02 Dec. 2014
  • on a family of operator means involving the power difference means               
    宇田川 陽一; 山崎 丈明; 柳田 昌宏
    作用素の平均とその関連, 27 Nov. 2014
  • Equivalence relations among some inequalities on operator means               
    YAMAZAKI TAKEAKI; WADA SHUHEI
    作用素の平均とその関連, 27 Nov. 2014
  • A converse of Loewner-Heinz inequality and applications to operator means               
    YAMAZAKI TAKEAKI
    19th ILAS Conference, 09 Aug. 2014
  • Generalized Ando-Hiai inequality for matrix power mean               
    YAMAZAKI TAKEAKI
    日本数学会 2014年度年回, 18 Mar. 2014
  • On geometric mean of n-matrices and related results               
    YAMAZAKI TAKEAKI
    The 7th Seminar on Linear Algebra and its Applications, 26 Feb. 2014, [Invited]
  • Converses of Loewner-Heinz inequality via operator means               
    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, 08 Nov. 2013
  • Operator inequality and operator mean               
    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, 27 Sep. 2013
  • Operator inequality and Operator mean               
    YAMAZAKI TAKEAKI
    Mathematical Society of Japan, 27 Sep. 2013, [Invited]
  • On some matrix inequalities involving matrix geometric mean of several matrices               
    山崎 丈明
    International Conference of Linea Algebra and Applications, 07 Jun. 2013
  • Karcher mean と matrix power mean -- これまでの発展と今後の展望 --               
    山崎 丈明
    作用素論・作用素環論研究集会, 24 Nov. 2012
  • A brief introduction of the Karcher mean               
    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, 05 Nov. 2012
  • On some matrix inequalities for the matrix power and Karcher means               
    山崎 丈明; 理学部数学科; Yongdo LIM
    日本数学会, 20 Sep. 2012
  • Matrix inequalities which are involved with power means               
    山崎 丈明
    2012 NIMS Hot Topics Workshop on Positive Matrices and Operators: Recent Developments and Advances, 26 Jun. 2012
  • On some properties of Riemannian mean               
    山崎 丈明
    作用素論・作用素環論研究集会, 05 Nov. 2011
  • Riemannian mean and matrix inequalities               
    山崎 丈明
    17th Conference of the International Linear Algebra Society, 22 Aug. 2011
  • Geometric properties of positive definite matrices cone with respect to the Thompson metric               
    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, 22 Mar. 2011
  • Properties of Riemannian mean related to Ando-Hiai inequality               
    山崎 丈明
    日本数学会, 22 Mar. 2011
  • On some properties of Riemannian mean               
    山崎 丈明
    作用素論・作用素環論研究集会, 15 Nov. 2010
  • Riemannian mean and matrix inequalities related to chaotic order and Ando-Hiai inequality               
    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, 28 Oct. 2010
  • On properties of geometric mean via Riemannian metric               
    山崎 丈明
    日本数学会, 23 Sep. 2010
  • On geometric means of n-operators               
    山崎 丈明
    第49回実関数論・函数解析学合同シンポジウム, 02 Aug. 2010
  • On properties of geometric mean of n-operators via Riemannian metric               
    山崎 丈明
    16th Conference of the International Linear Algebra Society, 22 Jun. 2010
  • A generalization of geometric mean of n-operators by Ando-Li-Mathias               
    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, 25 Mar. 2010
  • On geometric mean of n-operators and its generalization               
    山崎 丈明
    作用素論・作用素環論研究集会, 18 Nov. 2009
  • On a new construction of geometric mean of n-operators               
    山崎 丈明
    作用素論への幾何学の応用, 30 Oct. 2009
  • A new construction of geometric mean of n-operators               
    山崎 丈明
    IWOTA 2009, 21 Sep. 2009
  • On a geometric property of positive definite matrices cone               
    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, 28 Mar. 2009

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