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J-GLOBAL ID：200901077524079381 Update date: Jan. 31, 2024

Watatani Yasuo

ワタタニヤスオ | Watatani Yasuo

Research field (1)： Basic analysis

Research keywords (3)： operators , 作用素環 , Operator Algebras

Research theme for competitive and other funds (45)：

2017 - 2023 Infinite-dimensional Hilbert representations of quivers
2014 - 2018 Study on operator means and related topics
2013 - 2018 Research on comlex dynamical systems and C*-algebras
2013 - 2017 The study of operator monotone functions and its application to polynomials and operator perturbation
2011 - 2016 Research of complex dynamical systems and C*-algebras

2011 - 2013 Research on the relative position of subspaces of a Hilbert space and operators

2011 - 2013 Study on operator inequalities based on various analytic methods

2010 - 2012 On many approaches of the invariantsubspace problem in Hilbert spaces

2009 - 2012 The study of eigenvalue distribution of operator function and polynomials

2007 - 2010 Research for Hilbert C*-bimodules and their application to complex dynamical systems

2007 - 2010 Study on Complex dynamical systems and operator algebras

2007 - 2010 Study on operator theory and operator means

2006 - 2008 ヒルベルト空間の部分空間の配置とディンキン図形のヒルベルト表現の研究

2006 - 2008 The structure of invariant subspaces in Hilbert spaces and related topics

2005 - 2008 The study of operator functions and Applications to orthogonal polynomials

2004 - 2007 Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom

2005 - 2006 A study of finitary isomorphism of dynamical systems

2003 - 2006 Research for Hilbert C*-bimodules and its application to analysis of discrete dynamical systems

2002 - 2005 Study of recent topics on operator algebras

2002 - 2005 A bridge between complex analysis and operators on Hilbert spaces

2000 - 2003 Study of Low Dimensional Quantum Systems with Infinite Degree of Freedom by Non-Commutative Functional Analysis

2002 - 2002 国際研究集会「無限自由度量子系の解析学」開催のための企画調査

2001 - 2002 ヒルベルト空間の部分空間の配置の研究

2000 - 2002 Study of approximately transitive transformations and its application to operator algebra

2000 - 2002 Research for Hilbert C^* -bimodules and its application to dicrite dynamical systems

2000 - 2001 非可換リュエル・ペロン・フロベニウス作用素の研究

1997 - 2000 Study on subfactors

1998 - 1999 有限幾何の量子化

1997 - 1997 非可換有限幾何

1996 - 1996 Development of index theory for C-algebras

1996 - 1996 セクターの手法による部分因子環の構造解析

1995 - 1995 部分因子環に対する組合せの構造

1995 - 1995 C^*-部分環における指数理論の発展

1994 - 1994 複素解析空間上の消滅定理

1994 - 1994 部分因子環とその自己同型の研究

1993 - 1993 作用素部分・環の有限離散構造

1992 - 1993 Study on non-commutative dynamical systems

1992 - 1992 作用素環の部分環の構造と角度

1987 - 1987 作用素環の期待値と指数について

ヒルベルト双加群

中間因子環の組み合わせ理論

C^*-環に対する指数理論

Hilbert bimodules

Combinations for intermediate subfactors

Index theory for C^*-algebras

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Papers (66)：

Masaru Nagisa, Yasuo Watatani. Non-linear traces on the algebra of compact operators and majorization. Indagationes Mathematicae. 2023. 34. 4. 724-751
M. Nagisa, Y. Watatani. Non-linear traces on matrix algebras, majorization, unitarily invariant norms and 2-positivity. Analysis Mathematica. 2022. 48. 1105-1126
Masaru Nagisa, Yasuo Watatani. Non-linear monotone positive maps. Journal of Operator Theory. 2022. 87. 203-228
Tsuyoshi Kajiwara, Yasuo Watatani. Dimension groups for self-similar maps and matrix representations of the cores of the associated C*-algebras. Canadian J. Math. 2021. 73. 239-279
Masatoshi Enomoto, Yasuo Watatani. Systems of two subspaces in a Hilbert space. Advances in Operator Theory. 2020. 6. 1

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MISC (20)：

HILBERT REPRESENTATIONS OF QUIVERS. 2017. 2041. 209-212
ENOMOTO MASATOSHI, WATATANI YASUO. UNBOUNDED STRONGLY IRREDUCIBLE OPERATORS AND TRANSITIVE REPRESENTATIONS OF QUIVERS ON INFINITE-DIMENSIONAL HILBERT SPACES (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). 数理解析研究所講究録. 2017. 2033. 147-157
Watatani Yasuo. Relative position of three subspaces in a Hilbert space : a summary (Theory of operator means and related topics). RIMS Kokyuroku. 2015. 1935. 125-128
Watatani Yasuo. Hilbert representations of quivers and extended Dynkin diagrams (New development of Operator Algebras). RIMS Kokyuroku. 2008. 1587. 125-134
Watatani Yasuo. Mutually unbiased bases, Latin squares and orthogonal pairs(Group Theory and Related Topics). RIMS Kokyuroku. 2007. 1564. 138-149

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Lectures and oral presentations (14)：

Operator theory and non-linear positive maps on C*-algebras
(作用素論・作用素環論研究集会2022 2022)
Non-linear positive maps on C*-algebras
(RIMS研究集会「作用素環論の最近の発展」 2022)
C*-algebras associated with complex dynamical systems and their invariants
(KK-theory and dynamics, Melbourne 2016)
C*-algebras generated by two operations
(MFO, Oberwolfach 2012)
Self-similarity and fundamental group of simple C*-algebras
(KOTAC International Conference, Inchon 2010)

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Education (4)：

- 1981 Osaka Kyoiku University
- 1981 Osaka Kyoiku University Graduate School, Division of Education
- 1977 Osaka Kyoiku University Faculty of Education
- 1977 Osaka Kyoiku University Faculty of Education

Professional career (1)：

(BLANK)

Awards (1)：

2013 - Mathematical Society of Japan Analysis prize

Association Membership(s) (1)：

日本数学会

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