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Additive results of group inverses in Banach algebras

Functional Analysis 2024-02-27 v1 Rings and Algebras

Abstract

In this paper, we present new presentations of group inverse for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices. The group invertibility of certain block complex matrices is thereby obtained.

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Cite

@article{arxiv.2402.15841,
  title  = {Additive results of group inverses in Banach algebras},
  author = {Dayong Liu and Huanyin Chen},
  journal= {arXiv preprint arXiv:2402.15841},
  year   = {2024}
}

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12 pages