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Convexity theory and its applications in functional analysis. (English) Zbl 0453.46013

46A55 Convex sets in topological linear spaces; Choquet theory
46A40 Ordered topological linear spaces, vector lattices
46B42 Banach lattices
46B10 Duality and reflexivity in normed linear and Banach spaces
46A20 Duality theory for topological vector spaces
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis