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Displaying similar documents to “Sur les espaces C p ( X ; E ) bornologiques”

Sur certains espaces vectoriels topologiques

Nicolas Bourbaki (1950)

Annales de l'institut Fourier

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Cet article se rattache à un précédent travail paru dans ces mêmes annales (I, 1949, p. 61-101) : la dualité dans les espaces F et LF , par Dieudonné-Schwartz. La plupart des résultats énoncés antérieurement sont encore valables dans les espaces vectoriels appartenant à l’une ou l’autre des 2 catégories : bornologiques et tonnelés. Un espace vectoriel topologique localement convexe séparé est tonnelé si toute partie convexe, cerclée, fermée, engendrant l’espace, est un voisinage de O ....