8 citations · 8 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Additive results of group inverses in Banach algebras
Dayong Liu, Huanyin Chen
In this paper, we present new presentations of group inverse for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices…
On generalized core-EP invertibility in a Banach algebra
Huanyin Chen, Marjan Sheibani
We present new properties of generalized core-EP inverse in a Banach *-algebra. We characterize this new generalized inverse by using involved annihilators. The generalized core-EP…