6533b82afe1ef96bd128b7a7

RESEARCH PRODUCT

Operators Which Do Not Have the Single Valued Extension Property

Osmin MonsalvePietro Aiena

subject

Discrete mathematicsFredholm theoryProperty (philosophy)Applied MathematicsFredholm operatorBanach spaceExtension (predicate logic)Fredholm theoryBounded operatorLinear mapsymbols.namesakesingle valued extension propertysymbolsAnalysisMathematicsResolvent

description

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 .

https://doi.org/10.1006/jmaa.2000.6966