Joint continuity of measurable biadditive mappings-Reference-Cited by-同舟云学术

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Joint continuity of measurable biadditive mappings

Published:1988 Issue:4 Volume:103 Page:1125-1128
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Christensen Jens Peter Reus,Fischer Pal

Abstract

The main result of this paper is the following theorem. If G 1 , G 2 {G_1},{G_2} and G 3 {G_3} are abelian Polish groups and C : G 1 × G 2 → G 3 C:{G_1} \times {G_2} \to {G_3} is a Christensen measurable biadditive mapping, then C C is jointly continuous.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-04/S0002-9939-1988-0929436-1/S0002-9939-1988-0929436-1.pdf

Reference10 articles.

1. Applications séparément continues;Calbrix, Jean;C. R. Acad. Sci. Paris S\'{e}r. A-B,1979

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. Small sets and a class of general functional equations;Christensen, Jens Peter Reus;Aequationes Math.,1987

5. A functional equation for quadratic forms;Davison, T. M. K.;Aequationes Math.,1980

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1. Separately polynomial functions;Monatshefte für Mathematik;2021-09-06

2. Topological Features of Topological Groups;Handbook of the History of General Topology;2001

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