Additive Results of Group Inverses in Banach Algebras-Reference-Cited by-同舟云学术

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Additive Results of Group Inverses in Banach Algebras

Published:2024-06-30 Issue:13 Volume:12 Page:2042
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Dayong¹^ORCID,Chen Huanyin²

Affiliation:

1. College of Computer and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China

2. School of Big Data, Fuzhou University of International Studies and Trade, Fuzhou 350202, China

Abstract

In this paper, we present new presentations of group inverses for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices. The group invertibility of certain block complex matrices is thereby obtained.

Funder

Science Research Foundation of Education Department of Hunan Province

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/13/2042/pdf

Reference14 articles.

1. A generalized Drazin inverse;Koliha;Glasg. Math. J.,1996

2. The group inverse of some circulant matrices;Carmona;Linear Algebra Appl.,2021

3. Some results on resistance distances and resistance matrices;Sun;Linear Multilinear Algebra,2015

4. Additive results for the group inverse in an algebra with applications to block operators;Benitez;Linear Multilinear Algebra,2011

5. On the group inverse for the sum of matrices;Bu;J. Aust. Math. Soc.,2014

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