Generalized Browder's theorem and SVEP

Pietro Aiena, Orlando Garcia

Risultato della ricerca: Article

16 Citazioni (Scopus)

Abstract

A bounded operator T∈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 subsets of C. In the last part we give a general framework for which generalized Weyl’s theorem follows for several classes of operators
Lingua originaleEnglish
pagine (da-a)215-228
Numero di pagine14
RivistaMediterranean Journal of Mathematics
Volume4
Stato di pubblicazionePublished - 2007

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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