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

Year 2024, Early Access, 1 - 10

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

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

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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