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

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

References

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