Perturbation for group inverse in a Banach algebra

Perturbation for group inverse in a Banach algebra

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 i...

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Hauptverfasser: Liu, Dayong, Calci, Tugce Pekacar, Kose, Handan, Chen, Huanyin
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Zusammenfassung: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].
DOI:10.48550/arxiv.2108.09920