4 papers
Generalized EP properties of (b c) inverses
Huanyin Chen
In this paper, we introduce the notion of the generalized (b,c) EP inverse within the framework of a *-Banach algebra. This concept emerges as a logical extension of the weak group…
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…
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…