EUDML | On the Choquet and Bishop-de Leeuw theorems

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On utilise le théorème de Hahn-Banach pour construire quelques fonctionnelles sur des espaces de fonctions continues. On caractérise la frontière de Choquet, et on donne des démonstrations simples : a) du théorème de Bishop et de Leeuw avec des conditions de séparabilité ; b) du théorème de Bauer.