6533b836fe1ef96bd12a0bc0

RESEARCH PRODUCT

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

Andreas DefantAntonio GalbisJosé Bonet

subject

Pure mathematicsMathematics::Functional AnalysisApproximation propertyApplied MathematicsMathematical analysisEberlein–Šmulian theoremInfinite-dimensional vector functionBanach spaceTensor product of Hilbert spacesBanach manifoldTensor productTensor product of modulesAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
1992-05-01Journal of Mathematical Analysis and Applications
10.1016/0022-247x(92)90297-qhttp://dx.doi.org/10.1016/0022-247X(92)90297-Q