Topological vector spaces : the theory without convexity conditions

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Bibliografski detalji
Glavni autori: Adasch, Norbert, 1941-, Ernst, Bruno, 1947-...., mathématicien (Autor), Keim, Dieter, 1943- (Autor)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 639
Teme:
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Bilješka: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Topological vector spaces, the theory without convexity conditions, Norbert Adasch, Bruno Ernst, Dieter Keim, 1978, Berlin, Springer, 1 vol. (125 p.), Lecture notes in mathematics, 0-387-08662-5
• Topological Vector Spaces, Texte imprimé, 9783662179048
Sadržaj:
  • Strings and linear topologies
  • Metrizable topological vector spaces
  • Projective limits of topological vector spaces
  • Inductive limits of topological vector spaces
  • Topological direct sums, strict inductive limits
  • Barrelled topological vector spaces
  • The Banach-steinhaus theorem
  • Barrelled spaces and the closed graph theorem
  • Barrelled spaces and the open mapping theorem
  • Completeness and the closed graph theorem
  • Bornological spaces
  • Spaces of continuous linear mappings and their completion
  • Quasibarrelled spaces
  • Boundedly summing spaces
  • Locally topological spaces
  • Spaces with an absorbing sequence
  • ?-locally topological spaces
  • (DF)-spaces and spaces with a fundamental sequence of compact sets
  • Some examples and counter examples.