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arXiv · 2108.09920

Perturbation for group inverse in a Banach algebra

Dayong Liu·Tugce Pekacar Calci·Handan Kose·Huanyin Chen
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Abstract

We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of $\|(a+b)^{\#}-a^d\|$ is thereby given. These extend the main results in [X. Liu, Y. Qin and H. Wei, Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra, Abstr. Appl. Anal., 2012, 22 pages. DOI:10.1155/2012/629178].

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Dayong Liu, Tugce Pekacar Calci, Handan Kose, Huanyin Chen. 2021-08-23. Perturbation for group inverse in a Banach algebra. https://arxiv.org/abs/2108.09920

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