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

Yıl 2024, Cilt: 36 Sayı: 36, 184 - 193, 12.07.2024

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

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

Öz

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].

Anahtar Kelimeler

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

Kaynakça

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