A+ CATEGORY SCIENTIFIC UNIT

a-Weyl's theorem and perturbations

Volume 173 / 2006

Mourad Oudghiri Studia Mathematica 173 (2006), 193-201 MSC: 47A53, 47A55. DOI: 10.4064/sm173-2-6

Abstract

We study the stability of a-Weyl's theorem under perturbations by operators in some known classes. We establish in particular that if $T$ is a finite a-isoloid operator, then a-Weyl's theorem is transmitted from $T$ to $T+R$ for every Riesz operator $R$ commuting with $T$.

Authors

  • Mourad OudghiriUFR de Mathématiques
    Université Lille 1
    UMR-CNRS 8524
    59655 Villeneuve d'Ascq, France
    e-mail

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