Search results for " improjective operators"

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Intrinsic characterizations of perturbation classes on some Banach spaces

2010

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

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