On symmetry of Birkhoff orthogonality in the positive cones of C*-algebras with applications

被引：8

作者：

Komuro, Naoto ^{[1
]}

Saito, Kichi-Suke ^{[2
]}

Tanaka, Ryotaro ^{[3
]}

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] Tokyo Univ Sci, Fac Ind Sci & Technol, Oshamambe, Hokkaido 0493514, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 474卷 / 02期

基金：

日本学术振兴会;

关键词：

C*-algebra; Birkhoff orthogonality; Symmetric point; Positive cone; Preserver; JAMES ORTHOGONALITY; OPERATORS; POINTS;

D O I：

10.1016/j.jmaa.2019.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, local symmetry of Birkhoff orthogonality is considered in the positive cones of C*-algebras. For the positive cone U+ of a C*-algebra U, the notion of U+-local left (or right) symmetric points for Birkhoff orthogonality is introduced. Some simple characterizations of them are given. As an application, we determine the form of Birkhoff orthogonality preservers between the positive cones of C*-algebras by using Jordan *-isomorphisms. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1488 / 1497

页数：10

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