Rchr

J-GLOBAL ID：201801008333107057 Update date: Jun. 20, 2024

Hatori Osamu

ハトリオサム | Hatori Osamu

Affiliation and department：
Job title： Emeritus Professor
Other affiliations (1)：

The Open University of Japan Graduate School of Science and Technology Fundamental Sciences Visiting Professor

Research field (1)： Basic analysis

Research keywords (3)： Banach algebras , isometries , preserver problem

Research theme for competitive and other funds (40)：

2019 - 2022 バナッハ環における保存問題とジャイロ構造に関する研究
2015 - 2019 Certain spectrum preserving maps on Banach algebras and the stability of their perburbations
2014 - 2017 Geometric-topological study on dynamics of infinite dimensional linear operators
2015 - 2017 荷重合成作用素の保存構造の研究
2016 - バナッハ環上の保存問題とジャイロ構造の研究

2013 - 2016 Classifications of commutative Banach algebras and Banach modules and its applications

2011 - 2016 Research on Jordan type model theory of weighted composition operators on Hilbert spaces

2012 - 2015 Study of operators on spaces of analytic functions and the space of bounded analytic functions

2011 - 2015 Studies on structures and isometries of commutative Banach algebras

2010 - 2013 Study on preserver problems on Banach alebras

2011 - 2013 Various constants and norm inequalities in Banach spaces and its applications

2010 - 2012 Classifications of commutative Banach algebras and Banach modules and its applications

2009 - 2011 Study of bounded analytic functions and associated operators on spaces of analytic functions

2007 - 2010 Study on algebraic properties of maps between Banach algebras which preserve topological quantities

2008 - 2010 The study of norm structure and various constants of Banach spaces, and its applications

2007 - 2009 Classifications of commutative Banach algebras and Banach modules and its applications

2005 - 2007 Research on algebraic equations with coefficients in Banach algebras

2006 - 2007 The form of unit balls and the constants of Banach spaces and their applications

2006 - 2007 Study on Banach algebras from general and geometric topology view point

2004 - 2006 Classifications of commutative Banach algebras and Banach modules and its applications

2004 - 2006 Studies of the structure of operators on analytic function spaces and their invariant subspaces

2004 - 2005 Several constants of Banach spaces and its application

2002 - 2004 Research on automatic linearities for ring homomorphisms on commutative Banach algebras

2002 - 2003 The norm structure of Banach spaces and its application.

2001 - 2003 Classifications of commutative Banach algebras and Banach modules and its applications

2001 - 2003 Structure of ideals in the space of bounded analytic functions and operator theory

2000 - 2001 Algorithmic formulation of wavelet analysis

1999 - 2000 Research on operating functions on function spaces

1998 - 2000 Classifications of commutative Banach algebras and Banach modules

1998 - 2000 Research on families of functions determining structures of spaces of analytic functions

1997 - 1998 The structure of Hilbert modules over operator algebras and its application

1997 - 1998 Research on operators with natural spectrum

1996 - 1997 Classifications of commutative Banach algebras and Banach modules

1996 - 1996 多変数Hardy空間上のToeplitz型作用素と不変部分空間の相互関係

1996 - 1996 作用素環の手法による作用素と不変部分空間の研究

1996 - 1996 ヤコビベクトル場による大域幾何学の研究

1994 - 1996 Research on Fourier multiplier by operating functions on function spaces

1995 - 1995 トーラス上の不変部分空間の構造

1995 - 1995 可換Banach環及びBanach modulesの分類

1983 - 1983 関数環と関数空間の超分離性について

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Papers (82)：

Osamu Hatori, Shiho Oi. Non-linear characterization of Jordan *-isomorphisms via maps on positive cones of C*-algebras. Acta Scientiarum Mathematicarum. 2024
Osamu Hatori. The Mazur-Ulam property for a Banach space which satisfies a separation condition. RIMS Kokyuroku Bessatsu. 2023. B93. 29-82
Osamu Hatori. The Mazur-Ulam property for uniform algebras. Studia Mathematica. 2022. 265. 2. 227-239
Osamu Hatori, Shiho Oi, Rumi Togashi Shindo. Tingley's problem on uniform algebras. Journal of Mathematical Analysis and Applications. 2021. 503. 2
Takuro Honma, Osamu Hatori. A Gyrogeometric Mean in the Einstein Gyrogroup. Symmetry. 2020. 12. 8. 1333-1333

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MISC (7)：

OI SHIHO, HATORI OSAMU. HERMITIAN OPERATORS ON BANACH ALGEBRAS OF VECTOR-VALUED LIPSCHITZ MAPS : JOINT WORK WITH OSAMU HATORI (等距離写像研究の多角的アプローチ). 数理解析研究所講究録. 2017. 2035. 168-172
HATORI OSAMU, OI SHIHO, TAKAGI HIROYUKI. PECULIAR HOMOMORPHISMS ON COMMUTATIVE BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS (等距離写像研究の多角的アプローチ). 数理解析研究所講究録. 2017. 2035. 173-178
POSITIVE CONES AND GGV (Research on structure of operators by order and geometry with related topics). 2016. 1996. 107-112
HATORI OSAMU. THOMPSON ISOMETRIES ON POSITIVE INVERTIBLE ELEMENTS IN $C^{\ast}$-ALGEBRAS : JOINT WORK WITH TOSHIKAZU ABE (Theory of operator means and related topics). RIMS Kokyuroku. 2015. 1935. 114-124
HATORI OSAMU. MAPS BETWEEN GROUPS OF MATRICES (Set-theoretic/geometric topology and related topics). RIMS Kokyuroku. 2015. 1932. 30-35

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Lectures and oral presentations (94)：

A Mazur-Ulam theorem on a GGV and its application
(2024)
A Mazur-Ulam theorem and its applications
(2023)
Tingley's problem on function spaces
(2023)
The Mazur-Ulam property for spaces of harmonic functions
(2023)
The Mazur-Ulam property for Banach spaces with a certain separation condition
(6th Niigata Seminar 2023)

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Professional career (1)：

Doctor of Science (Waseda University)

Work history (6)：

2020/04 - 現在 Niigata University Faculty of Science and Technology Fellow
2020/04 - 現在 The Open University of Japan
2020/04 - 現在 Niigata University
2017/04 - 2020/03 Niigata University Faculty of Science Department of Science Professor
2010/04 - 2020/03 Niigata University Graduate School of Science and Technology Fundamental Sciences Professor

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Association Membership(s) (1)：

日本数学会

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