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Mathematics > Rings and Algebras

arXiv:2209.10090 (math)
[Submitted on 21 Sep 2022]

Title:The Core Inverse in a Banach Algebra with Involution

Authors:Marjan Sheibani, Huanyin Chen
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Abstract: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}.
Subjects: Rings and Algebras (math.RA)
Cite as: arXiv:2209.10090 [math.RA]
  (or arXiv:2209.10090v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.2209.10090

Submission history

From: Huanyin Chen [view email]
[v1] Wed, 21 Sep 2022 03:46:47 UTC (9 KB)
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