Christensen zero sets and measurable convex functions-Reference-Cited by-同舟云学术

Christensen zero sets and measurable convex functions

Published:1980 Issue:3 Volume:79 Page:449-453
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fischer Pal,Słodkowski Zbigniew

Abstract

A notion of measurability in abelian Polish groups related to Christensen’s Haar zero set is studied. It is shown that a measurable homomorphism or a measurable Jensen convex function defined on a real linear Polish space is continuous.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-079-03/S0002-9939-1980-0567990-5/S0002-9939-1980-0567990-5.pdf

Reference5 articles.

1. G. Choquet, Lectures on analysis, vol. 1, Benjamin, New York, 1969.

2. On sets of Haar measure zero in abelian Polish groups;Christensen, Jens Peter Reus;Israel J. Math.,1972

3. North-Holland Mathematics Studies, Vol. 10;Christensen, J. P. R.,1974

4. Sur le théorème du graphe fermé;Schwartz, Laurent;C. R. Acad. Sci. Paris S\'{e}r. A-B,1966

5. W. Sierpinski, Sur les fonctions convexes mesurables, Fund. Math. 1 (1920), 125-129.

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