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Universal real locally convex linear topological spaces

Otton Martin Nikodým — 1951

Annales de l'institut Fourier

Par une méthode ressemblant à celle de E. Silverman (Rivista di Matematica di Parma, 1951) on construit des espaces universels dans lesquels les espaces linéaires réels, topologiques et localement convexes L peuvent être plongés d’une manière isomorphe et isométrique par rapport à la pseudonorme de D.H. Hyers (, J., 5 (1939)). La convergence dans L se transforme en une modification de la convergence uniforme des fonctions, ce qui montre que cette dernière possède une généralité qu’on ne pouvait...

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