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

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

Pages : 184-193

Doi:10.24330/ieja.1478635

View : 57 | Download : 71

Publication Date : 2024-07-12

Article Type : Research Paper

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