The g-Drazin inverses of anti-triangular block operator matrices

被引：1

作者：

Chen, Huanyin ^{[1
]}

Sheibani, Marjan ^{[2
]}

机构：

[1] Fuzhou Univ Int Studies & Trade, Sch Big Data, Fuzhou 350202, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 463卷

关键词：

g-Drazin inverse; Drazin inverse; Operator matrix; Banach algebra; CLINES FORMULA; REPRESENTATIONS;

D O I：

10.1016/j.amc.2023.128368

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 g-Drazin inverse if there exists b is an element of A such that ab = ba, b = bab and a - a(2)b is an element of A(qntl). In this paper we find new explicit representations of the g-Drazin inverse of the block operator matrix ((F) (E) (0) (I)). We thereby solve a wider kind of singular differential equations posed by Campbell (1983) [2].

引用

页数：12

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