Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra
Functional Analysis
2024-09-20 v2
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}.
Keywords
Cite
@article{arxiv.2204.04675,
title = {Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra},
author = {Othman Abad and Hassan Zguitti},
journal= {arXiv preprint arXiv:2204.04675},
year = {2024}
}