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Espaces vectoriels topologiques : Chapitres 1à 5

Espaces vectoriels topologiques : Chapitres 1à 5 Paperback - 2006 - 1st Edition

by N. Bourbaki

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From the rear cover

Espaces vectoriels topologiques

Les lments de mathmatique de Nicolas BOURBAKI ont pour objet une prsentation rigoureuse, systmatique et sans prrequis des mathmatiques depuis leurs fondements.

Ce livre est le cinquime du trait; il est consacr aux bases de l'analyse fonctionnelle. Il contient en particulier le thorme de Hahn-Banach et le thorme de Banach-Steinhaus. Il comprend les chapitres:

  1. Espaces vectoriels topologiques sur un corps value;
  2. Ensembles convexes et espaces localement convexes;
  3. Espaces d'applications linaires continues;
  4. La dualit dans les espaces vectoriels topologiques;
  5. Espaces hilbertiens (thorie lmentaire).

Il contient galement des notes historiques.

Ce volume a t publi en 1981.