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

2022/04/10 by Abad, Othman, Zguitti, Hassan
#46H99 #47A10 #47A53 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2204.04675

Abstract

We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \citeZiv 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 \citeAbZg1,Djor,Ziv.

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