Semi-Browder operators and perturbations

Vladimir Rakočević

Studia Mathematica (1997)

  • Volume: 122, Issue: 2, page 131-137
  • ISSN: 0039-3223

Abstract

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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].

How to cite

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Rakočević, Vladimir. "Semi-Browder operators and perturbations." Studia Mathematica 122.2 (1997): 131-137. <http://eudml.org/doc/216365>.

@article{Rakočević1997,
abstract = {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].},
author = {Rakočević, Vladimir},
journal = {Studia Mathematica},
keywords = {ascent; descent; semi-Fredholm; semi-Browder operators; commuting Riesz operator perturbations; perturbations},
language = {eng},
number = {2},
pages = {131-137},
title = {Semi-Browder operators and perturbations},
url = {http://eudml.org/doc/216365},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Rakočević, Vladimir
TI - Semi-Browder operators and perturbations
JO - Studia Mathematica
PY - 1997
VL - 122
IS - 2
SP - 131
EP - 137
AB - 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].
LA - eng
KW - ascent; descent; semi-Fredholm; semi-Browder operators; commuting Riesz operator perturbations; perturbations
UR - http://eudml.org/doc/216365
ER -

References

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