H. Zguitti

activity

20092024

most citedOn pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

math.RA2024

New characterization of $(b, c)$ -inverses through polarity

Btissam Laghmam, Hassane Zguitti

In this paper we introduce the notion of $(b, c)$ -polar elements in an associative ring $R$ . Necessary and sufficient conditions of an element $a \in R$ to be $(b, c)$ -polar are inves…

math.FA2023

On the closed generalized Drazin-Riesz invertible operators and $C_{0}$ -semigroups

Othman Abad, Hassane Zguitti

This paper is a continuation of our paper [Med. J. Math 19, Article number: 31 (2022)] in which we extended the notion of generalized Drazin-Riesz invertible operators to closed op…

math.FA2022

Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra

Othman Abad, Hassan Zguitti

We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra. Several c…

math.FA2019

A note on the common spectral properties for bounded linear operators

Hassane Zguitti

Let $X$ and $Y$ be Banach spaces, $A : X \to Y$ and $B, C : Y \to X$ be bounded linear operators. We prove that if $A (B A)^{2} = A B A C A = A C A B A = (A C)^{2} A,$ then $$σ_{*}(AC…

math.FA2019

Further common local spectral properties for bounded linear operators

Hassane Zguitti

In this note, we study common local spectral properties for bounded linear operators $A \in L (X, Y)$ and $B, C \in L (Y, X)$ such that $A (B A)^{2} = A B A C A = A C A B A = (A C)^{2} A .$ …

math.FA2015★ 1 cited

On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices

H. Zariouh, H. Zguitti

We introduce a new class which generalizes the class of B-Weyl operators. We say that $T \in L (X)$ is pseudo B-Weyl if $T = T_{1} \oplus T_{2}$ where $T_{1}$ is a Weyl operator and $T_{2}$ is…