Some relations of projection and star order in Hilbert space

被引：3

作者：

Deng, Chunyuan ^{[1
]}

Yu, Anqi ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 474卷

基金：

中国国家自然科学基金;

关键词：

Projection; *-order; Operator matrix; INVOLUTION;

D O I：

10.1016/j.laa.2015.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the star order on B(H) and show several properties for which the common star lower or star upper bound exists regarding the relationships among operators and projections. We give various characterizations of star order and obtain much simpler matrix representations with respect to star order relation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：158 / 168

页数：11

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