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math.FA2026
On the dynamics of Toeplitz operators over Bergman spaces
Othman Abad
We investigate the hypercyclicity of Toeplitz operators on the Bergman space with symbols of the form , where $γ\in \mathbb{C} \setmin…
math.FA2023
On the closed generalized Drazin-Riesz invertible operators and -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…