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arXiv · 2204.04675

Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra

Othman Abad·Hassan Zguitti
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Abstract

We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible elements are given. In particular, we extend those of \cite{AbZg1,Djor,Ziv}.

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BibTeXRIS

Othman Abad, Hassan Zguitti. 2022-04-10. Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra. https://arxiv.org/abs/2204.04675

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