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A duality theorem for locally convex tensor products

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Publication:801269
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DOI10.1007/BF01159162zbMath0551.46050MaRDI QIDQ801269

Andreas Defant

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173608

zbMATH Keywords

approximation propertyisometric isomorphism(DF)-spacesdual space of a related tensor product spaceduality of projective and injective tensor productslocal Radon-Nikodym propertystructure of (DF)-spaces and Frechet spaces


Mathematics Subject Classification ID

Duality theory for topological vector spaces (46A20) Tensor products in functional analysis (46M05)


Related Items

Generalized prequojections and bounded maps, Locally Asplund spaces of holomorphic functions, On the injective tensor product of quasinormable spaces, \(Q\)-reflexive Banach spaces, On the Injective Tensor Product of Distinguished Frechet Spaces



Cites Work

  • Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\)
  • Localization and duality of topological tensor-products
  • Spaces of vector-valued continuous functions
  • Banach ideals of operators with applications
  • Duals of spaces of compact operators
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