Article
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Generalized Right Core Inverse in *-Banach Algebras
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Version 1
: Received: 18 June 2024 / Approved: 18 June 2024 / Online: 18 June 2024 (14:14:02 CEST)
How to cite: Chen, H.; Sheibani, M. Generalized Right Core Inverse in *-Banach Algebras. Preprints 2024, 2024061246. https://doi.org/10.20944/preprints202406.1246.v1 Chen, H.; Sheibani, M. Generalized Right Core Inverse in *-Banach Algebras. Preprints 2024, 2024061246. https://doi.org/10.20944/preprints202406.1246.v1
Abstract
We introduce a new generalized inverse which is a natural generalization of (pseudo) right core inverse in a Banach *-algebra. We characterize this generalized inverse by using right core and quasi-nilpotent decomposition. We then present its polar-like characterization and investigate related algebraic properties. Finally, the right core-EP inverse is characterized by certain new ways.
Keywords
core inverse; right core inverse; core-EP inverse; right core-EP inverse; generalized right core inverse; polar-like property; *-Banach algebra
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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