We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-3-7,
author = {Pietro Aiena and T. Len Miller},
title = {On generalized a-Browder's theorem},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {285-300},
zbl = {1119.47002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-3-7}
}
Pietro Aiena; T. Len Miller. On generalized a-Browder's theorem. Studia Mathematica, Tome 178 (2007) pp. 285-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-3-7/