6533b821fe1ef96bd127c3a0

RESEARCH PRODUCT

Single-valued extension property at the points of the approximate point spectrum

Ennis RosasPietro Aiena

subject

Discrete mathematicsFredholm theoryFredholm operatorApplied MathematicsSpectrum (functional analysis)Banach spaceExtension (predicate logic)Type (model theory)Fredholm theorySingle valued extension propertysymbols.namesakeLimit pointsymbolsPoint (geometry)AnalysisMathematics

description

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.

10.1016/s0022-247x(02)00708-4http://dx.doi.org/10.1016/S0022-247X(02)00708-4