On generalized a-Browder's theorem

Pietro Aiena; T. Len Miller

Studia Mathematica (2007)

  • Volume: 180, Issue: 3, page 285-300
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Pietro Aiena, and T. Len Miller. "On generalized a-Browder's theorem." Studia Mathematica 180.3 (2007): 285-300. <http://eudml.org/doc/286148>.

@article{PietroAiena2007,
abstract = {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.},
author = {Pietro Aiena, T. Len Miller},
journal = {Studia Mathematica},
keywords = {single-valued extension property (SVEP); Fredholm theory; generalised Weyl theorem; generalised Browder theorem},
language = {eng},
number = {3},
pages = {285-300},
title = {On generalized a-Browder's theorem},
url = {http://eudml.org/doc/286148},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Pietro Aiena
AU - T. Len Miller
TI - On generalized a-Browder's theorem
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 3
SP - 285
EP - 300
AB - 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.
LA - eng
KW - single-valued extension property (SVEP); Fredholm theory; generalised Weyl theorem; generalised Browder theorem
UR - http://eudml.org/doc/286148
ER -

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