Výsledky vyhledávání

Report

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

Autor: Aznay, Z., Ouahab, A., Zariouh, H.

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 $T$ such that $STS = S$ and $\sigma(T^{2}S - T)\subset\{0\}$ which is

Externí odkaz: http://arxiv.org/abs/2203.06738

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Report

Property (z); direct sums and a note on an a-Browder type theorem

Autor: Arroud, A., Zariouh, H.

We characterize the properties $(z)$ and $(az)$ for an operator $T$ whose dual $T^*$ has the SVEP on the complementary of the upper semi-Weyl spectrum of $T.$ If $S$ and $T$ are Banach space operators satisfying property $(z)$ or $(az),$ we give cond

Externí odkaz: http://arxiv.org/abs/1706.07892

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Report

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

Autor: Zariouh, H., Zguitti, H.

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 a quasi-nilpotent operator. We show that the corresponding pseudo B-We

Externí odkaz: http://arxiv.org/abs/1503.06611

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Akademický článek

On a class of (bz)-operators.

Autor: Ben Ouidren, K., Ouahab, A., Zariouh, H.

Publikováno v: Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2023, Vol. 72 Issue 8, p4169-4177, 9p

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Akademický článek

Extended Weyl-Type Theorems for Direct Sums

Autor: Berkani M., Kachad M., Zariouh H.

Publikováno v: Demonstratio Mathematica, Vol 47, Iss 2, Pp 411-422 (2014)

In this paper, we study the stability of extended Weyl and Browdertype theorems for orthogonal direct sum S⊕T, where S and T are bounded linear operators acting on Banach space. Two counterexamples shows that property (ab), in general, is not prese

Externí odkaz: https://doaj.org/article/8167c8f5485a4f9bba438b8921190cc4

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