Generalized weighted EP elements in Banach algebras
Functional Analysis
2025-07-15 v1 Rings and Algebras
Abstract
We propose a new class of generalized inverses with weights, which represent a natural extension of EP (Moore-Penrose) and *-DMP (Drazin-Moore-Penrose) elements in a Banach *-algebra. This paper presents various characteristics of weighted EP elements. Moreover, we characterize the weighted EP element through the core-EP decomposition and a polar-like property. Finally, we explore weighted *-DMP elements and uncover several new properties of *-DMP elements.
Cite
@article{arxiv.2507.09939,
title = {Generalized weighted EP elements in Banach algebras},
author = {H. Chen and M. Sheibani},
journal= {arXiv preprint arXiv:2507.09939},
year = {2025}
}