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Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\)

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Publication:594352
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DOI10.1007/BF01457063zbMath0525.46024OpenAlexW2044364315MaRDI QIDQ594352

Andreas Defant, Willy Govaerts

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/182924

zbMATH Keywords

ultrabornologicalspaces of vector-valued continuous functionsinterchangeability of epsilon-products with uncountable inductive limitstopological-geometrical properties of certain spaces of vector-valued functions


Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Barrelled spaces, bornological spaces (46A08)


Related Items

Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions, Dual density conditions in (DF)-spaces. I, The countable neighbourhood property and tensor products, A duality theorem for locally convex tensor products



Cites Work

  • Tensor products and spaces of vector-valued continuous functions
  • Espaces de fonctions continues
  • Inductive limits and ε-tensor products.
  • Barrelledness conditions on \(c_0(E)\)
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