The g-Drazin invertibility in a Banach algebra
Rings and Algebras
2022-03-16 v1
Abstract
We present necessary and sufficient conditions under which the anti-triangular matrix over a Banach algebra has g-Drazin inverse. New additive results for g-Drazin inverse are obtained. Then we apply our results to operator matrices and generalize many known results, e.g.,~\cite[Theorem 2.2]{D}, ~\cite[Theorem 2.1]{YL} and \cite[Theorem 4.1]{Y}.
Cite
@article{arxiv.2203.07568,
title = {The g-Drazin invertibility in a Banach algebra},
author = {Huanyin Chen and Marjan Sheibani},
journal= {arXiv preprint arXiv:2203.07568},
year = {2022}
}