×
Fischer, Pal; Slodkowski, Zbigniew

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

Proc. Am. Math. Soc. 79, 449-453 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0444.46010

Cited in 3 Reviews
Cited in 32 Documents

MSC:

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.)

Keywords:

Christensen zero sets; measurable convex functions; Haar zero set; abelian Polish group; universially measurable sets; Christensen measurable; sigma-ideal
PDF BibTeX XML Cite
\textit{P. Fischer} and \textit{Z. Slodkowski}, Proc. Am. Math. Soc. 79, 449--453 (1980; Zbl 0444.46010)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.