The Drazin inverse of the linear combinations of two idempotents in the Banach algebra

被引：15

作者：

Zhang, Shifang ^{[1
]}

Wu, Junde ^{[2
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350007, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 09期

关键词：

Drazin inverse; Group inverse; Idempotent; Linear combinations; ORTHOGONAL PROJECTIONS; MATRICES; TRIPOTENT; INVERTIBILITY; DIFFERENCE; SUM;

D O I：

10.1016/j.laa.2011.10.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some Drazin inverse representations of the linear combinations of two idempotents in a Banach algebra are obtained. Moreover, we present counter-examples to and establish the corrected versions of two theorems by Cvetkovit-Ilic and Deng. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3132 / 3138

页数：7

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