Tensor products and spaces of vector-valued continuous functions

DOI10.1007/BF01186656zbMath0601.46064OpenAlexW2003260911MaRDI QIDQ1081090

Andreas Defant, Willy Govaerts

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155149

zbMATH Keywords

spaces of vector-valued continuous functionsbarrelled and bornological tensor products of locally convex spacesdesintegration lemmainjective topology

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Barrelled spaces, bornological spaces (46A08) Tensor products in functional analysis (46M05)

Related Items (14)

Models of Linear Logic based on the Schwartz $\varepsilon$-product ⋮ Barrelledness conditions on certain vector valued sequence spaces ⋮ Spaces of \(N\)-homogeneous polynomials between Fréchet spaces ⋮ Bornological spaces of null sequences ⋮ Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\) ⋮ Property (BB) and holomorphic functions on Fréchet-Montel spaces ⋮ On unconditional bases in spaces of holomorphic functions in infinite dimensions ⋮ Tensor products of Fréchet or (DF)-spaces with a Banach space ⋮ Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions ⋮ On the injective tensorproduct of (DF)-spaces ⋮ Preduals of Spaces of Vector-Valued Holomorphic Functions ⋮ Dual density conditions in (DF)-spaces. I ⋮ Barrelledness and nuclearity ⋮ Tensor sequences and inductive limits with local partition of unity

Cites Work

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• Théorie des distributions à valeurs vectorielles. II
• Über die Tonneliertheit von lokalkonvexen Tensorprodukten
• Spaces of vector-valued continuous functions
• The \(L_ p\) spaces
• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
• Inductive limits and ε-tensor products.
• Charakterisierung lokalkonvexer Räume mit Hilfe von Tensornormtopologien
• Sur certains produits tensoriels topologiques d'espaces de banach
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires
• Barrelledness conditions on \(c_0(E)\)

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