Generalized Weighted EP Elements in Banach Algebras

Preprints.org 2026 Preprint Open access

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Authors: H. Chen
DOI: 10.20944/preprints202608.0111.v1
Cited by: 0

Abstract

We pioneered a new class of generalized inverses, termed generalized weighted EP elements, unifying the concepts of weighted EP and *-DMP elements within Banach *-algebras. This framework allows us to establish a novel characterization of Banach elements expressible as the sum of a weighted EP element and a quasinilpotent. Furthermore, we derive distinct characterizations of weighted *-DMP elements, uncovering previously unknown properties of DMP elements.

Fields of Study & Subjects

Formal Methods in Verification Matrix Theory and Algorithms Dynamics and Control of Mechanical Systems

Publication details

Journal / source
Preprints.org
Publication date
4 August 2026
Language
EN
Document type
Preprint