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Topologies faciales dans les convexes compacts. Calcul fonctionnel et décomposition spectrale dans le centre d'un espace $A(X)$

Topologies faciales dans les convexes compacts. Calcul fonctionnel et décomposition spectrale dans le centre d'un espace $A(X)$

In this paper, we study, on the set 𝒮(X) of the extremal points of a compact convex set X, facial topologies for which closed sets are the intersection with 𝒮(X) of “parallel” faces (there exists a greatest face F ′ disjoint of F, and, for every x in X, x=λy+(1-λ)y …