0000000000660336

AUTHOR

Osmin Monsalve

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Operators Which Do Not Have the Single Valued Extension Property

2000

Abstract In this paper we shall consider the relationships between a local version of the single valued extension property of a bounded operator T  ∈  L ( X ) on a Banach space X and some quantities associated with T which play an important role in Fredholm theory. In particular, we shall consider some conditions for which T does not have the single valued extension property at a point λ o  ∈  C .

Discrete mathematicsFredholm theoryProperty (philosophy)Applied MathematicsFredholm operatorBanach spaceExtension (predicate logic)Fredholm theoryBounded operatorLinear mapsymbols.namesakesingle valued extension propertysymbolsAnalysisMathematicsResolventJournal of Mathematical Analysis and Applications
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