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An application of the Hahn-Banach theorem in convex analysis. (English) Zbl 0487.46002

MSC:
46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
46A55 Convex sets in topological linear spaces; Choquet theory
46G05 Derivatives of functions in infinite-dimensional spaces
52A07 Convex sets in topological vector spaces (aspects of convex geometry)
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