Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems

被引：8
|
作者：
Komuro, Naoto [1 ]
Saito, Kichi-Suke [2 ]
Tanaka, Ryotaro [3 ,4 ]
机构：
[1] Hokkaido Univ, Dept Math, Asahikawa Campus, Asahikawa, Hokkaido 0708621, Japan
[2] Niigata Univ, Inst Sci & Technol, Dept Math Sci, Niigata 9502181, Japan
[3] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan
[4] Tokyo Univ Sci, Fac Ind Sci & Technol, Oshamambe, Hokkaido 0493514, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 463卷 / 02期
基金：
日本学术振兴会;
关键词：
von Neumann algebra; (Strong) Birkhoff orthogonality; Symmetric point; Linear preserver; C-ASTERISK-MODULES; JAMES ORTHOGONALITY; LINEAR-OPERATORS; SPACES; B(H);
D O I：
10.1016/j.jmaa.2018.03.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Complete characterizations of left or right symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras and abelian unital C*-algebras are given. As an application, we show that every linear strong Birkhoff orthogonality preserver between von Neumann algebras is an algebraic *-isomorphism. (C) 2018 Elsevier Inc. All rights reserved.
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页码：1109 / 1131
页数：23
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