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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Komuro, Naoto¹  Saito, Kichi-Suke²  Tanaka, Ryotaro³ 

[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

关键词: C*-algebra;    Birkhoff orthogonality;    Symmetric point;    Positive cone;    Preserver;   

DOI  :  10.1016/j.jmaa.2019.02.033

来源: Elsevier

【 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.

【 授权许可】

Free