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

Published 10 Apr 2022 in math.FA | (2204.04675v2)

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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