a-Weyl's theorem and perturbations

Mourad Oudghiri

Studia Mathematica (2006)

  • Volume: 173, Issue: 2, page 193-201
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Mourad Oudghiri. "a-Weyl's theorem and perturbations." Studia Mathematica 173.2 (2006): 193-201. <http://eudml.org/doc/284932>.

@article{MouradOudghiri2006,
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.},
author = {Mourad Oudghiri},
journal = {Studia Mathematica},
keywords = {Weyl's theorem; a-Weyl's theorem; perturbation},
language = {eng},
number = {2},
pages = {193-201},
title = {a-Weyl's theorem and perturbations},
url = {http://eudml.org/doc/284932},
volume = {173},
year = {2006},
}

TY - JOUR
AU - Mourad Oudghiri
TI - a-Weyl's theorem and perturbations
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 2
SP - 193
EP - 201
AB - 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.
LA - eng
KW - Weyl's theorem; a-Weyl's theorem; perturbation
UR - http://eudml.org/doc/284932
ER -

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