Rchr
J-GLOBAL ID：200901059750925190   Update date: Sep. 14, 2022

Hiai Fumio

ヒアイ フミオ | Hiai Fumio
Homepage URL  (1)： http://db.tohoku.ac.jp/whois/detail/340f360473ce9efb66b08f86f84572e5.html
Research field  (2)： Basic analysis ,  Mathematical analysis
Research keywords  (6)： 非可換確率論 ,  作用素論 ,  作用素環 ,  Noncommutative Probability theory ,  Operator theory ,  Operator algebra
Research theme for competitive and other funds  (6)：
  • 1987 - 作用素論
  • 1987 - Operator theory
  • 1980 - 非可換確率論
  • 1980 - 作用素環
  • 1980 - Noncommutative probability theory
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MISC (234)：
ｍore...
Books (8)：
  • Means of Hilbert Space Operators (Lecture Notes in Mathematics, Vol. 1820)
    Springer-Verlag 2003
  • Means of Hilbert Space Operators (Lecture Notes in Mathematics, Vol. 1820)
    Springer-Verlag 2003
  • The Semicircle Law, Free Random Variables and Entropy
    Amer. Math. Soc. 2000
  • The Semicircle Law, Free Random Variables and Entropy
    Amer. Math. Soc. 2000
  • ヒルベルト空間と線型作用素
    牧野書店 1995
ｍore...
Lectures and oral presentations  (84)：
  • Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
    (The 6th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability 2011)
  • Generalizing Minkowski's determinantal inequality (joint work with J.-C. Bourin)
    (International Conference "Product Systems and Independence in Quantum Dynamics" 2011)
  • Free energy density in one-dimensional spin chains
    (Summer school on "Non-equilibrium statistical mechanics" 2011)
  • Jensen and Minkowski type inequalities for operator means (joint work with J.-C. Bourin)
    (14th Workshop "Non-commutative Harmonic Analysis" 2011)
  • Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
    (The 6th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability 2011)
ｍore...
Works (4)：
  • 量子情報理論と量子確率論の新展開
    2008 - 2010
  • 量子情報理論と量子確率論の新展開
    2008 - 2010
  • 自由確率論とランダム行列 -- 新しい情報数理に向けて
    2004 - 2006
  • 自由確率論とランダム行列 -- 新しい情報数理に向けて
    2004 - 2006
Education (4)：
  • - 1975 Tokyo Institute of Technology
  • - 1975 Tokyo Institute of Technology Graduate School, Division of Natural Science
  • - 1970 Tokyo Institute of Technology School of Science Dept. of Mathematics
  • - 1970 Tokyo Institute of Technology Faculty of Science
Professional career (1)：
  • 理学博士 (東京工業大学)
Work history (11)：
  • 1990 - 1998 Ibaraki University
  • 1990 - 1998 Ibaraki University, Professor
  • 1985 - 1990 Hokkaido University
  • 1985 - 1990 Hokkaido University, Assistant Professor
  • 1984 - 1985 Tokyo University of Science
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Association Membership(s) (4)：
アメリカ数学会(American Mathematical Society) ,  日本数学会 ,  アメリカ数学会(American Mathematical Society) ,  日本数学会
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