Browder's theorems through localized SVEP

Pietro Aiena, Maria Teresa Biondi

Risultato della ricerca: Article

13 Citazioni (Scopus)

Abstract

A bounded linear operator T ∈ L(X) on aBanach space X is said to satisfy "Browder's theorem" if the Browder spectrum coincides with the Weyl spectrum. T ∈ L(X) is said to satisfy "a-Browder's theorem" if the upper semi-Browder spectrum coincides with the approximate point Weyl spectrum. In this note we give several characterizations of operators satisfying these theorems. Most of these characterizations are obtained by using a localized version of the single-valued extension property of T. In the last part we shall give some characterizations of operators for which "Weyl's theorem" holds.
Lingua originaleEnglish
pagine (da-a)137-151
Numero di pagine15
RivistaMediterranean Journal of Mathematics
Volume2
Stato di pubblicazionePublished - 2005

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Browder's Theorem
Single Valued Extension Property
Weyl's Theorem
Bounded Linear Operator
Operator
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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Browder's theorems through localized SVEP. / Aiena, Pietro; Biondi, Maria Teresa.

In: Mediterranean Journal of Mathematics, Vol. 2, 2005, pag. 137-151.

Risultato della ricerca: Article

Aiena, P & Biondi, MT 2005, 'Browder's theorems through localized SVEP', Mediterranean Journal of Mathematics, vol. 2, pagg. 137-151.
Aiena P, Biondi MT. Browder's theorems through localized SVEP. Mediterranean Journal of Mathematics. 2005;2:137-151.
Aiena, Pietro ; Biondi, Maria Teresa. / Browder's theorems through localized SVEP. In: Mediterranean Journal of Mathematics. 2005 ; Vol. 2. pagg. 137-151.
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