Work

Extension of the pseudo Drazin inverse in Banach algebras

Year: 2025

Type: article

Abstract: In this paper, we study a new class of generalized inverses in Banach algebras, which is termed extended pseudo Drazin inverse. We derive several characterizations and elementary properties of the extended pseudo Drazin inverse. Moreover, we obtain the generalized versions of Jacobson?s lemma for extended Drazin inverse, extended generalized Drazin inverse and extended pseudo Drazin inverse.

Source: Filomat

DOI: 10.2298/fil2503861w

Authors: Weifeng Wang, Kai Yan

Institution: Fuzhou University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Natural Science Foundation of Fujian Province

Award: G6982722995