An operator in a Banach space is called upper (lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (descent). We extend this notion to n-tuples of commuting operators and show that this notion defines a joint spectrum. Further we study relations between semi-Browder and (essentially) semiregular operators.
@article{bwmeta1.element.bwnjournal-article-smv123i1p1bwm,
author = {Vladim\'\i r Kordula and Vladim\'\i r M\"uller and Vladimir Rako\v cevi\'c},
title = {On the semi-Browder spectrum},
journal = {Studia Mathematica},
volume = {122},
year = {1997},
pages = {1-13},
zbl = {0874.47007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p1bwm}
}
Kordula, Vladimír; Müller, Vladimír; Rakočević, Vladimir. On the semi-Browder spectrum. Studia Mathematica, Tome 122 (1997) pp. 1-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv123i1p1bwm/
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