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The dual of the cone of all convex functions on a vector space. (English) Zbl 0328.46010


MSC:

46A40 Ordered topological linear spaces, vector lattices
26A51 Convexity of real functions in one variable, generalizations
46A20 Duality theory for topological vector spaces
15A39 Linear inequalities of matrices
52A40 Inequalities and extremum problems involving convexity in convex geometry
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References:

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[10] Meyer, P. A.,Probability and Potentials (Blaisdell, Waltham, Massachusetts 1966). · Zbl 0138.10401
[11] Sherman, S.,On a Theorem of Hardy, Littlewood, Pólya and Blackwell, Proc. Nat. Acad. Sci. U.S.A.37, 826–831 (1951). · Zbl 0044.27801 · doi:10.1073/pnas.37.12.826
[12] Strassen, V.,The Existence of Probability Measures with Given Marginals, Ann. Math. Statist.36, 423–439 (1965). · Zbl 0135.18701 · doi:10.1214/aoms/1177700153
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