4 papers
Generalized right group inverse in Banach *-algebras
Huanyin Chen, Marjan Sheibani
In this paper, we introduce the concept of the generalized right group inverse within the context of a *-Banach algebra. This represents a natural extension of the generalized (wea…
Generalized weighted EP elements in Banach algebras
H. Chen, M. Sheibani
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 *-algeb…
The -generalized right group inverses in Banach algebras
Huanyin Chen, Marjan Sheibani
In this paper, we introduce the concept of the m-generalized right group inverse. This serves as a natural extension of both the m-weak group inverse and the generalized group inve…
New properties of weighted generalized core-EP inverse in Banach algebras
Huanyin Chen, Marjan Sheibani
We characterize the generalized weighted core-EP inverse via the canonical decomposition, utilizing a weighted core-EP invertible element and a quasinilpotent. We then offer a pola…