Christensen zero sets and measurable convex functions. (English) Zbl 0444.46010


46A55 Convex sets in topological linear spaces; Choquet theory
28A10 Real- or complex-valued set functions
28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
28C15 Set functions and measures on topological spaces (regularity of measures, etc.)
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[1] G. Choquet, Lectures on analysis, vol. 1, Benjamin, New York, 1969. · Zbl 0181.39602
[2] Jens Peter Reus Christensen, On sets of Haar measure zero in abelian Polish groups, Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces (Jerusalem, 1972), 1972, pp. 255 – 260 (1973). · Zbl 0249.43002
[3] J. P. R. Christensen, Topology and Borel structure, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1974. Descriptive topology and set theory with applications to functional analysis and measure theory; North-Holland Mathematics Studies, Vol. 10. (Notas de Matemática, No. 51). · Zbl 0273.28001
[4] Laurent Schwartz, Sur le théorème du graphe fermé, C. R. Acad. Sci. Paris Sér. A-B 263 (1966), A602 – A605 (French). · Zbl 0151.19202
[5] W. Sierpinski, Sur les fonctions convexes mesurables, Fund. Math. 1 (1920), 125-129. · JFM 47.0235.03
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