6533b854fe1ef96bd12af416

RESEARCH PRODUCT

Intrinsic characterizations of perturbation classes on some Banach spaces

Pietro AienaManuel González

subject

Pure mathematicsApproximation propertyNuclear operatorGeneral MathematicsMathematical analysisInterpolation spaceBirnbaum–Orlicz spaceFinite-rank operatorBanach manifoldLp spaceInessential operators improjective operatorsCompact operator on Hilbert spaceMathematics

description

We investigate relationships between inessential operators and improjective operators acting between Banach spaces X and Y, emphasizing the case in which one of the spaces is a C(K) space. We show that they coincide in many cases, but they are different in the case X=Y =C(K 0), where K 0 is a compact space constructed by Koszmider. Mathematics Subject Classification (2000)47A53 KeywordsInessential operators-Improjective operators-Fredholm theory

yearjournalcountryeditionlanguage
2010-03-24
10.1007/s00013-010-0103-7http://hdl.handle.net/10447/49353