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Local Spectral Theory of Linear Operators RS and SR

- C. Benhida, E. Zerouali
- Mathematics
- 2006

Abstract.In this paper, we study the relation between local spectral properties of the linear operators RS and SR. We show that RS and SR share the same local spectral properties SVEP, (β), (δ) and… Expand

Recursive Subnormal Completion and the Truncated Moment Problem

- R. Ben Taher, M. Rachidi, E. Zerouali
- Mathematics
- 1 July 2001

The aim of this paper is to study properties of sequences that are recursively defined by a linear equation and their applications to the truncated moment problem in connection with the problem of… Expand

The Interior of Bounded Point Evaluations for Rationally Cyclic Operators

- M. Mbekhta, N. Ourchane, E. Zerouali
- Mathematics
- 1 August 2016

AbstractLet T be a bounded rationally multicyclic operator on some separable Banach space X, B(T) be the set of its bounded point evaluations and Ba(T) be the set of its analytic bounded point… Expand

Generalized Toeplitz Operators and Cyclic Vectors

- G. Cassier, H. Mahzouli, E. Zerouali
- Mathematics
- 2004

We give in this paper some asymptotic von Neumann inequalities for power bounded operators in the class \(C_\rho \cap C_{1,} .\) and some spacial von Neumann inequalities associated with non zero… Expand

Perturbation of spectra of operator matrices and local spectral theory

- E. Zerouali, H. Zguitti
- Mathematics
- 15 December 2006

Spectra of upper triangular operator matrices

- C. Benhida, E. Zerouali, H. Zguitti
- Mathematics
- 24 March 2005

Let X, Y be given Banach spaces. For A ∈ £(X), B ∈ £(Y) and C ∈ £(Y, X), let M C be the operator defined on X ○+ Y by M C = [ A 0 C B ]. We give sufficient conditions on C to get Σ(M C ) = Σ(M 0 ),… Expand

On Taylor and other joint spectra for commuting n-tuples of operators

- C. Benhida, E. Zerouali
- Mathematics
- 1 February 2007

Local spectral theory for 2×2 operator matrices

- H. Elbjaoui, E. Zerouali
- Mathematics
- 2003

We discuss the spectral properties of the operator MC ∈ (X ⊕ Y) defined by MC := AC 0 B ,w hereA ∈ (X), B ∈ (Y ), C ∈ (Y , X) ,a ndX, Y are complex Banach spaces. We prove that (SA∗ ∩ SB ) ∪ σ( MC )… Expand

On the localized weak Bishop’s property

- Bouazza El Wahbi, Haddou Khachane, B. Seddoug, E. Zerouali
- Mathematics, Economics
- 25 February 2020

This note is devoted to a weaker version of Bishop property $$\beta$$ at a given complex number. We show in particular that this notion is a regularity and hence the induced spectrum satisfies all… Expand

Wold-type decomposition for some regular operators ☆

- H. Ezzahraoui, M. Mbekhta, E. Zerouali
- Mathematics
- 1 October 2015

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