Bundles of Topological Vector Spaces and Their Duality

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Bibliografske podrobnosti
Glavni avtor: Gierz, Gerhard
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 955
Teme:
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Sporočilo: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Bundles of topological vector spaces and their duality, Gerhard Gierz, Berlin, Springer, 1982, 1 vol. (IV-296 p.), Lecture notes in mathematics, 3-540-11610-9
• Bundles of Topological Vector Spaces and Their Duality, Texte imprimé, 9783662193525
Kazalo:
  • Notational remarks
  • Basic definitions
  • Full bundles and bundles with completely regular base space
  • Bundles with locally paracompact base spaces
  • Stone Weierstraß theorems for bundles
  • An alternative description of spaces of sections: Function modules
  • Some algebraic aspects of ?-spaces
  • A third description of spaces of sections: C(X)-convex modules
  • C(X)-submodules of ?(p)
  • Quotients of bundles and C(X)-modules
  • Morphisms between bundles
  • Bundles of operators
  • Excursion: Continuous lattices and bundles
  • M-structure and bundles
  • An adequate M-theory for ?-spaces
  • Duality
  • The closure of the "unit ball" of a bundle and separation axioms
  • Locally trivial bundles: A definition
  • Local linear independence
  • The space Mod(?(p),C(X))
  • Internal duality of C(X)-modules
  • The dual space ?(p)' of a space of sections.