Group inverse and core inverse in Banach and C*-algebras |
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| Authors: | Nadica Mihajlović |
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| Affiliation: | 1. Faculty of Technical Sciences, University of Pri?tina temporarily settled in Kosovska Mitrovica, Kosovska Mitrovica, Serbianadica.milenkovic@pr.ac.rs |
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| Abstract: | AbstractIn this paper, we have focused our study on the acute perturbation of the group inverse for the elements of Banach algebra with respect to the spectral radius. We also give perturbation analysis for the core inverse in C*- algebra. The perturbation bounds for the core inverse under some conditions are presented. Additionally, this paper extends the results obtained in [11, 14]. |
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| Keywords: | Group inverse Moore-Penrose inverse Core inverse spectral radius acute perturbation Banach algebra C*-algebra Perturbation |
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