Search results for " Fredholm theory"

showing 2 items of 2 documents

On the spectral properties of some classes of operators

2010

This article concerns the spectral properties of some classes of operators defined by means some inequelities

Settore MAT/05 - Analisi MatematicaLocal spectral theory and Fredholm theory
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Generalized Browder’s Theorem and SVEP

2007

A bounded operator \(T \in L(X), X\) a Banach space, is said to verify generalized Browder’s theorem if the set of all spectral points that do not belong to the B-Weyl’s spectrum coincides with the set of all poles of the resolvent of T, while T is said to verify generalized Weyl’s theorem if the set of all spectral points that do not belong to the B-Weyl spectrum coincides with the set of all isolated points of the spectrum which are eigenvalues. In this article we characterize the bounded linear operators T satisfying generalized Browder’s theorem, or generalized Weyl’s theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H0(λI − T) as λ belongs to certain …

Unbounded operatorDiscrete mathematicsPure mathematicsGeneral MathematicsSpectrum (functional analysis)Banach spaceBounded operatorSettore MAT/05 - Analisi MatematicaBounded functionSVEP Fredholm theory generalized Weyl’s theorem and generalized Browder’s theoremMathematics::Representation TheoryBounded inverse theoremEigenvalues and eigenvectorsResolventMathematicsMediterranean Journal of Mathematics
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