Espaces vectoriels topologiques: Chapitres 1à 5 (Elements De Mathematique) (French Edition)
3540344977
9783540344971
Description:
Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce livre est le cinquième du traite; il est consacre aux bases de l analyse fonctionnelle. Il contient en particulier le theorème de Hahn-Banach et le theorème 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 lineaires continues; -4. La dualite dans les espaces vectoriels topologiques; -5. Espaces hilbertiens (theorie elementaire). Il contient egalement des notes historiques. Ce volume a ete publie en 1981.
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