The Core Inverse in a Banach Algebra with Involution
2022
Online
report
We present new additive results for the core inverse in a Banach algebra with involution. We obtain necessary and sufficient conditions under which the sum of two core invertible elements in a Banach algebra with involution is core invertible. Then we apply our results to block complex matrices and obtain certain conditions under which a block complex is core invertible. These generalize many known results, e.g.,~\cite[Theorem 4.3]{XCZ}, ~\cite[Theorem 2.5]{XS}.
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The Core Inverse in a Banach Algebra with Involution
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Autor/in / Beteiligte Person: | Sheibani, Marjan ; Chen, Huanyin |
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Veröffentlichung: | 2022 |
Medientyp: | report |
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