Toshikazu AbeLecturer
■Researcher basic information
Organization
■Research activity information
Paper
- Algebraic structures for means
Toshikazu Abe
Results in Mathematics, 2021, [Reviewed] - Integral-type operators between the weighted Lipschitz spaces on a tree
TOSHIKAZU ABE AND TAKUYA HOSOKAWA
Nihonkai Mathematical Journal, 2021, [Reviewed] - Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the Mobius gyrovector space
Toshikazu Abe; Keiichi Watanabe, In this study, we show that any finitely generated gyrovector subspace in the Mobius gyrovector space coincides with the intersection of the vector subspace generated by the same generators and the Mobius ball. As an application, we present a notion of orthogonal gyrodecomposition and clarify the relationship with the orthogonal decomposition.
(c) 2016 The Author(s). Published by Elsevier Inc., ACADEMIC PRESS INC ELSEVIER SCIENCE
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, May 2017, [Reviewed] - The equivalence of gyrocommutative gyrogroups and K-loops
Toshikazu Abe
Nihonkai Mathematical Journal, 2017, [Reviewed] - A Mazur-Ulam theorem for normed gyrolinear spaces
Toshikazu Abe, A Normed gyrolinear space is a generalization of a normed linear space based on gyocommutative gyrogroups. In this paper, we give a Mazur-Ulam theorem for Normed gyrolinear spaces., American Mathematical Society
Problems and recent methods in operator theory, Contemp. Math., 2017, [Reviewed] - On a characterization of commutativity for C-algebras via gyrogroup operations
Toshikazu Abe; Osamu Hatori, We show that a unital C*-algebra is commutative if and only if the gyrogroup of the set of positive invertible elements is in fact a group., SPRINGER
Period. Math. Hungar., 2016, [Reviewed] - Normed Gyrolinear spaces : a Generalization of Normed Spaces Based on Gyrocommutative,Gyrogroups
Toshikazu Abe
Mathematics Interdisciplinary Research., 2016, [Reviewed], [Invited] - Generalized gyrovector spaces and a Mazur-Ulam theorem
Toshikazu Abe; Osamu Hatori, In this paper we introduce the notion of a generalized gyrovector space. The set of all positive invertible elements in a unital C*-algebra is an example. We study surjective gyrometric preserving maps and show that such maps also preserve the algerbraic structures. As an application we exhibit a structure theorem for maps which preserve the metric of Thompson's type., KOSSUTH LAJOS TUDOMANYEGYETEM
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, [Reviewed] - Gyrometric preserving maps on Einstein gyrogroups, Mobius gyrogroups,and Proper Velocity gyrogroups
Toshikazu Abe
Nonlinear. Funct. Anal. Appl., 2014, [Reviewed] - Isometries of the special orthogonal group
Toshikazu Abe; Shigeki Akiyama; Osamu Hatori, In this paper we describe all isometries on the special worthogonal group. As an application we give a form of spectrally multiplicative map on the special orthogonal group. (C) 2013 Elsevier Inc. All rights reserved., ELSEVIER SCIENCE INC
Linear Algebra Appl., 2013, [Reviewed]
Lectures, oral presentations, etc.
- A gyrogroup operation on invertible matrices
RIMS共同研究 Research on preserver problems on Banach algebras and related topics, 27 Oct. 2021
20211025, 20211027 - Isomorphisms between scalar product spaces
Tohikazu Abe
Conference on Function Algebras 2019, 30 Nov. 2019 - Gyrogroups for means on R+
2019年度秋季総合分科会, 19 Sep. 2019 - R+上の平均とジャイロ群演算
阿部敏一
第93回米沢数学セミナー『可換Banach環と関連分野研究集会』, 30 Jun. 2019 - メビウスジャイロベクトル空間の構造について
2018年度つくばセミナー, 06 Mar. 2019 - ジャイロベクトル空間と2-cocycleの関係について
第３回防大函数解析セミナー, 13 Oct. 2018 - A geometric inequality and isometries on the positive cone
羽鳥理; 阿部敏一
日本数学会2018年度秋季総合分科会, 26 Sep. 2018 - 平均を代数的中点にもつ代数構造について
関東作用素論セミナー, 08 Sep. 2018 - mean と代数的中点
第92回米沢数学セミナー, 01 Jul. 2018 - Mean に対する代数構造
防大関数解析セミナー, 22 Jun. 2018 - 平均に関する代数構造について
阿部敏一
第5 回 日立解析学セミナー, 09 Mar. 2018 - Algebraic structures for means
Toshikazu Abe
RIMS 共同研究（公開型）等距離写像理論と保存問題の多様な視点からの研究, 14 Feb. 2018, [Invited] - 講演タイトル「正定値行列全体のジャイロ構造について」
阿部敏一
作用素論・作用素環論研究集会 2017, 18 Nov. 2017, [Invited] - 半正定値行列の基本的な性質について
阿部敏一
第４回 日立解析セミナー, 16 Sep. 2017 - ジャイロ群に基づく線形空間の一般化とその部分空間
阿部敏一
第４４回関東作用素論セミナー, 15 Apr. 2017 - ジャイロ群に基づく線形空間の一般化
阿部敏一
第４回山陰基礎論・解析学研究集会, 09 Jan. 2017 - 線形空間に類似した構造を持つジャイロ群について
阿部敏一
2016 年度ジェネラルトポロジーシンポジウム, 07 Dec. 2016, [Invited] - Subspaces of the 2×2 positive invertible real matrices
阿部敏一
2016 年度関数環研究集会, 04 Dec. 2016 - Subspaces of the positive definite cones
Toshikazu Abe
Preserver Problems and Their Related Topucs, 08 Nov. 2016 - Gyrolinear spaces
Toshikazu Abe
Workshop in Nara University of Education 2016, 06 Nov. 2016 - ジャイロ線形空間について
阿部敏一
日立 関数解析セミナー,, 20 Sep. 2016 - Gyrometric preservers on normed gyrolinear spaces
Toshikazu Abe
20th Conference of the International Linear Algebra Sociaty, 15 Jul. 2016, [Invited] - gyrogroupに基づくノルム空間の一般化
阿部敏一
日本数学会2016年度会, 18 Mar. 2016 - A Mazur-Ulam theorem for the generalized gyrovector spaces
AMS Fall Southeastern Sectional Meeting at the University of Memphis, Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, 18 Oct. 2015 - A generalization of the gyrovector spaces
Toshikazu Abe
Problems and Recent Methods in Operator Theory in Memory of Professor James E. Jamison, 15 Oct. 2015, [Invited] - 距離構造から定義される代数構造
日本数学会2015年度秋季総合分科会, 15 Sep. 2015 - 単位的C*-環の正凸錐上のジャイロ構造とその応用
阿部敏一
第54回実関数論・函数解析学合同シンポジウム, 02 Sep. 2015, [Invited] - An algebraic structure on metric spaces
Toshikazu Abe
International Conference on Preserver Problems and Related Topics, 24 May 2015 - Generalized gyrovector spaceについて
阿部敏一; 羽鳥理
日本数学会2015年度会一般講演, 22 Mar. 2015 - Generalized gyrovector spaceに対するMazur-Ulamの定理とその応用
阿部敏一; 羽鳥理
日本数学会2015年度会, 22 Mar. 2015 - A generalization of the Mazur-Ulam Theorem for gyrovector spaces
Toshikazu Abe
The seventh conference on function spaces, 22 May 2014, [Invited] - Translation invariant metric on N/nN
Toshikazu Abe
Satellite Seminar in Niigata of Takahashi International, 17 Mar. 2010
