Additive Properties of g-Drazin Invertible Linear Operators

被引：1

作者：

Chen, Huanyin ^{[1
]}

Abdolyousefi, Marjan Sheibani ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou, Peoples R China

[2] Semnan Univ, Farzanegan Campus, Semnan, Iran

来源：

FILOMAT | 2022年 / 36卷 / 10期

关键词：

  generalized Drazin inverse; additive property; operator matrix; Banach algebra; INVERSE; MATRICES; SUM;

D O I：

10.2298/FIL2210301C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate additive properties of generalized Drazin inverse for bounded linear operators. As an application we present new conditions under which a 2 x 2 operator matrix has g-Drazin inverse. These extend the main results of Dana and Yousefi (Int. J. Appl. Comput. Math., 4(2018), page 9), Yang and Liu (J. Comput. Appl. Math., 235(2011), 1412-1417) and Sun et al. (Filomat, 30(2016), 3377-3388).

引用

页码：3301 / 3309

页数：9

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