Kemperman, J. H. B. The dual of the cone of all convex functions on a vector space. (English) Zbl 0328.46010 Aequationes Math. 13, 103-119 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents 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 PDFBibTeX XMLCite \textit{J. H. B. Kemperman}, Aequationes Math. 13, 103--119 (1975; Zbl 0328.46010) Full Text: DOI EuDML References: [1] Blackwell, D.,Comparison of Experiments, Proc. Second Berkeley Symp. Math. Statist. Prob., 93–102 (1951). · Zbl 0044.14203 [2] Blackwell, D.,Equivalent Comparisons of Experiments, Ann. Math. Statist.24, 265–272 (1953). · Zbl 0050.36004 · doi:10.1214/aoms/1177729032 [3] Bourbaki, N.,Espaces vectoriels topologiques, Ch. I, II, Actualités Scientifiques et Industrielles no. 1189 (Hermann and Cie, Paris 1953). [4] Bourbaki, N.,Espaces vectoriels topologiques, Ch. III–V, Actualités Scientifiques et Industrielles no. 1229 (Hermann and Cie, Paris 1955). [5] Gale, D.,Theory of Linear Economic Models (McGraw-Hill, New York 1960). · Zbl 0114.12203 [6] Hardy, G. H., Littlewood, J. E. andPólya, G.,Inequalities (Cambridge University Press, Cambridge 1934). · Zbl 0010.10703 [7] Karlin, S. andStudden, W. J.,Tchebycheff Systems: With Applications in Analysis and Statistics (John Wiley and Sons, New York 1966). [8] Kelley, J. L. andNamioka, I.,Linear Topological Spaces (D. van Nostrand, New York 1963). [9] Mazur, S. andOrlicz, W.,Grundlegende Eigenschaften der polynomischen Operationen, Studia Math.5, 50–68 (1934);6, 179–189 (1935). · JFM 60.1074.03 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.