Generalized $\pi$-Hirano inverses of the sum in Banach algebras

Year 2024, Volume: 36 Issue: 36, 184 - 193, 12.07.2024

Bibi Roghaye Bahlakeh , Rahman Bahmani Sangesari , Marjan Sheibani Abdolyousefi , N. Ashrafi

https://doi.org/10.24330/ieja.1478635

https://izlik.org/JA67BX59AH

Abstract

In this paper, we investigate some additive results on g$\pi$-Hirano invertibility in Banach algebras. By applying our results, some new results for operator matrices are obtained. This extends the main results of [H. Zou, T. Li and Y. Wei, arXiv:2302.06080v1].

Keywords

Drazin inverse , g$\pi$-Hirano inverse , additive property , operator matrix , spectral idempotent

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