Displaying similar documents to “Proximinal subspaces of A ( K ) of finite codimension.”

On the representation of certain functionals by measures on the Choquet boundary

David Alan Edwards (1963)

Annales de l'institut Fourier

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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.

Conical measures and vector measures

Igor Kluvánek (1977)

Annales de l'institut Fourier

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Every conical measure on a weak complete space E is represented as integration with respect to a σ -additive measure on the cylindrical σ -algebra in E . The connection between conical measures on E and E -valued measures gives then some sufficient conditions for the representing measure to be finite.