Browder's theorems through localized SVEP

Pietro Aiena, Maria Teresa Biondi

    Research output: Contribution to journalArticle

    13 Citations (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.
    Original languageEnglish
    Pages (from-to)137-151
    Number of pages15
    JournalMediterranean Journal of Mathematics
    Volume2
    Publication statusPublished - 2005

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)

    Cite this

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

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

    Research output: Contribution to journalArticle

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