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arXiv · 2402.15841

Additive results of group inverses in Banach algebras

Dayong Liu·Huanyin Chen
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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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Dayong Liu, Huanyin Chen. 2024-02-24. Additive results of group inverses in Banach algebras. https://arxiv.org/abs/2402.15841

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