Additive results of group inverses in Banach algebras

2024/02/24 by Liu, Dayong, Chen, Huanyin
#15A09 #47L10 #FOS: Mathematics #Functional Analysis (math.FA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2402.15841

Abstract

In this paper, we present new presentations of group inverse 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.

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