A. Ouahab

collaborators

3 papers

math.SP2022

Almost invertible operators

Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh

We prove that a bounded linear operator $T$ is a direct sum of an invertible operator and an operator with at most countable spectrum iff $0\notin\mbox{acc}^{ω_{1}}\,σ(T),$ where $…

math.FA2022

On the $g_{z}$ -Kato decomposition and generalization of Koliha Drazin invertibility

Z. Aznay, A. Ouahab, H. Zariouh

In \cite{koliha}, Koliha proved that $T \in L (X)$ ( $X$ is a complex Banach space) is generalized Drazin invertible operator equivalent to there exists an operator $S$ commuting with…

math.SP2021

On subclasses of Browder and Weyl operators

Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh

The main purpose of this paper, is to introduce and study the classes $(a b_{e})$ and $(a w_{e})$ which are strongly related to what has been recently studied in \cite{aznay-zariouh}…

Almost invertible operators

On the gz​-Kato decomposition and generalization of Koliha Drazin invertibility

On subclasses of Browder and Weyl operators

On the $g_{z}$ -Kato decomposition and generalization of Koliha Drazin invertibility