The Moore-Penrose inverses of products and differences of projections in a C*-algebra

被引：20

作者：

Li, Yuan ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Moore-Penrose inverse; Drazin inverse; projection; C*-algebras;

D O I：

10.1016/j.laa.2007.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For two given projections p and q in a C*-algebra, we investigate how to express Moore-Penrose inverses of products pq and differences p - d and pq - qp. Moreover, it is shown that pq - qp is Moore-Penrose invertible if and only if pq and p - q are Moore-Penrose invertible. In addition, some related topics are considered. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1169 / 1177

页数：9

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