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Some characterizations of operators satisfying a-Browder's theorem

Pietro AienaEnnis RosasCarlos Carpintero

subject

Discrete mathematicsUnbounded operatora-Browder's theoremFredholm theoryPicard–Lindelöf theoremApplied MathematicsEberlein–Šmulian theoremBanach spaceSpectral theoremOperator theorya-Weyl's theoremShift theoremLocal spectral theoryBounded inverse theoremAnalysisMathematics

description

Abstract We characterize the bounded linear operators T defined on Banach spaces satisfying a-Browder's theorem, or a-Weyl's theorem, by means of the discontinuity of some maps defined on certain subsets of C . Several other characterizations are given in terms of localized SVEP, as well as by means of the quasi-nilpotent part, the hyper-kernel or the analytic core of λ I − T .

yearjournalcountryeditionlanguage
2005-11-01Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2005.03.007http://dx.doi.org/10.1016/j.jmaa.2005.03.007