3 citations · 18 across the 46 of their papers we have counts for
9 papers · 1 filter
The g-Drazin inverses of anti-triangular block operator matrices
Huanyin Chen, Marjan Sheibani
An element in a Banach algebra has g-Drazin inverse if there exists such that and . In this paper…
Pseudo core invertibility in Banach *-algebras and its applications
Huanyin Chen, Marjan Sheibani
We present new additive results for the pseudo core inverse in a Banach algebra with involution. The necessary and sufficient conditions under which the sum of two pseudo core inve…
The Core Inverse in a Banach Algebra with Involution
Marjan Sheibani, Huanyin Chen
We present new additive results for the core inverse in a Banach algebra with involution. We obtain necessary and sufficient conditions under which the sum of two core invertible e…
Group inverse for anti-triangular block operator matrices
Huanyin Chen, Marjan Sheibani
We present the existence of the group inverse and its representation for the block operator matrix under the condition $FEF…
The group inverse of the sum in a Banach algebra
Huanyin Chen, Marjan Sheibani
In this paper, we present new necessary and sufficient conditions under which the sum of two group invertible elements in a Banach algebra has group inverse. We then apply these re…
Group invertibility of the sum in rings and its applications
Huanyin Chen, Dayong Liu, Marjan Sheibani
We present new additive results for the group invertibility in a ring. Then we apply our results to block operator matrices over Banach spaces and derive the existence of group inv…