0000000000441088

AUTHOR

Ennis Rosas

0000-0001-8123-9344

showing 3 related works from this author

Some characterizations of operators satisfying a-Browder's theorem

2005

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 .

Discrete mathematicsUnbounded operatora-Browder's theoremFredholm theoryPicard–Lindelöf theoremApplied MathematicsEberlein–Šmulian theoremBanach spaceSpectral theoremOperator theorya-Weyl's theoremShift theoremLocal spectral theoryBounded inverse theoremAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Single-valued extension property at the points of the approximate point spectrum

2003

Abstract A localized version of the single-valued extension property is studied at the points which are not limit points of the approximate point spectrum, as well as of the surjectivity spectrum. In particular, we shall characterize the single-valued extension property at a point λ o ∈ C in the case that λoI−T is of Kato type. From this characterizations we shall deduce several results on cluster points of some distinguished parts of the spectrum.

Discrete mathematicsFredholm theoryFredholm operatorApplied MathematicsSpectrum (functional analysis)Banach spaceExtension (predicate logic)Type (model theory)Fredholm theorySingle valued extension propertysymbols.namesakeLimit pointsymbolsPoint (geometry)AnalysisMathematicsJournal of Mathematical Analysis and Applications
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Browder's theorems and the spectral mapping theorem

2007

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