The G-Drazin Inverse of an Operator Matrix over Banach Spaces

被引：0

作者：

Tayebi, Farzaneh ^{[1
]}

Ashrafi, Nahid ^{[1
]}

Bahmani, Rahman ^{[1
]}

Abdolyousefi, Marjan sheibani ^{[2
]}

机构：

[1] Semnan Univ, Dept Math Stat & Comp Sci, Semnan, Iran

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

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2024年 / 64卷 / 02期

关键词：

generalized Drazin inverse; additive property; operator matrix; spectral idempotent; BLOCK REPRESENTATIONS; CLINES FORMULA; SUM;

D O I：

10.5666/KMJ.2024.64.2.205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a Banach algebra. An element a is an element of A has generalized Drazin inverse if there exists b is an element of A such that b = bab, ab = ba, a - a (2) b is an element of A (qnil) . New additive results for the generalized Drazin inverse of an operator over a Banach space are presented. we extend the main results of a paper of Shakoor, Yang and Ali from 2013 and of Wang, Huang and Chen from 2017. Appling these results to 2 x2 operator matrices we also generalize results of a paper of Deng, Cvetkovic<acute accent>-Ilic<acute accent> and Wei from 2010.

引用

页码：205 / 218

页数：14

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