Search results for "Infinite-dimensional vector function"

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Tensor products of Fréchet or (DF)-spaces with a Banach space

1992

Abstract The aim of the present article is to study the projective tensor product of a Frechet space and a Banach space and the injective tensor product of a (DF)-space and a Banach space. The main purpose is to analyze the connection of the good behaviour of the bounded subsets of the projective tensor product and of the locally convex structure of the injective tensor product with the local structure of the Banach space.

Pure mathematicsMathematics::Functional AnalysisApproximation propertyApplied MathematicsMathematical analysisEberlein–Šmulian theoremInfinite-dimensional vector functionBanach spaceTensor product of Hilbert spacesBanach manifoldTensor productTensor product of modulesAnalysisMathematicsJournal of Mathematical Analysis and Applications
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