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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-2-6,
author = {Mourad Oudghiri},
title = {a-Weyl's theorem and perturbations},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {193-201},
zbl = {1097.47013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-2-6}
}
Mourad Oudghiri. a-Weyl's theorem and perturbations. Studia Mathematica, Tome 173 (2006) pp. 193-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-2-6/