The p-Drazin Inverse for Operator Matrix over Banach Algebras

被引：0

作者：

Chen, Huanyin ^{[1
]}

Zou, Honglin ^{[2
]}

Calci, Tugce Pekacar ^{[3
]}

Kose, Handan ^{[4
]}

机构：

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

[2] Hubei Normal Univ, Dept Math, Huangshi, Hubei, Peoples R China

[3] Ankara Univ, Dept Math, Ankara, Turkey

[4] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

来源：

FILOMAT | 2020年 / 34卷 / 14期

关键词：

p-Drazin inverse; operator matrix; Banach algebra;

D O I：

10.2298/FIL2014597C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An element a in a Banach algebra A has p-Drazin inverse provided that there exists b is an element of comm(a) such that b = b(2)a, a(k) - a(k+1)b is an element of J(A) for some k is an element of N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse. As applications, we prove the p-Drazin invertibility of the block operator matrix under certain spectral conditions.

引用

页码：4597 / 4605

页数：9

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