This study uncovers new properties of the extended pseudo drazin inverse in Banach algebras, revealing implications for generalized inverses.
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.
No takes yet. Share an insight, caveat, or question.
Wang et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: