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Additive Results of Group Inverses in Banach Algebras

Authors :
Dayong Liu
Huanyin Chen
Source :
Mathematics, Vol 12, Iss 13, p 2042 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

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.

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
13
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.fe93dc14cf8d43538406effd78cecba8
Document Type :
article
Full Text :
https://doi.org/10.3390/math12132042