Pseudo core invertibility in Banach *-algebras and its applications
Rings and Algebras
2022-09-22 v1
Abstract
We present new additive results for the pseudo core inverse in a Banach algebra with involution. The necessary and sufficient conditions under which the sum of two pseudo core invertible elements in Banach *-algebra is pseudo core invertible are obtained. As an application, the pseudo core invertibility for block complex matrices is investigated. These extend the main results of pseudo core invertibility of Gao and Chen [Comm. Algebra, 46(2018), 38--50].
Keywords
Cite
@article{arxiv.2209.10124,
title = {Pseudo core invertibility in Banach *-algebras and its applications},
author = {Huanyin Chen and Marjan Sheibani},
journal= {arXiv preprint arXiv:2209.10124},
year = {2022}
}