An operator in a Banach space is called upper (resp. lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (resp. descent). An operator in a Banach space is called semi-Browder if it is upper semi-Browder or lower semi-Browder. We prove the stability of the semi-Browder operators under commuting Riesz operator perturbations. As a corollary we get some results of Grabiner [6], Kaashoek and Lay [8], Lay [11], Rakočević [15] and Schechter [16].
@article{bwmeta1.element.bwnjournal-article-smv122i2p131bwm,
author = {Vladimir Rako\v cevi\'c},
title = {Semi-Browder operators and perturbations},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {131-137},
zbl = {0892.47015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p131bwm}
}
Rakočević, Vladimir. Semi-Browder operators and perturbations. Studia Mathematica, Tome 122 (1997) pp. 131-137. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p131bwm/
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