Perturbation for group inverse in a Banach algebra

2021/08/23 by Liu, Dayong, Calci, Tugce Pekacar, Kose, Handan +1
#15A09 #32A65 #47L10 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2108.09920

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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• Perturbation analysis for the generalized inverses with prescribed idempotents in Banach algebras
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• Generalized right group inverse in Banach *-algebras