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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Joint continuity of measurable biadditive mappings


Authors: Jens Peter Reus Christensen and Pal Fischer
Journal: Proc. Amer. Math. Soc. 103 (1988), 1125-1128
MSC: Primary 43A46; Secondary 22A10, 28C10, 39B70
MathSciNet review: 929436
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Abstract: The main result of this paper is the following theorem. If $ {G_1},{G_2}$ and $ {G_3}$ are abelian Polish groups and $ C:{G_1} \times {G_2} \to {G_3}$ is a Christensen measurable biadditive mapping, then $ C$ is jointly continuous.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0929436-1
PII: S 0002-9939(1988)0929436-1
Keywords: Joint continuity, universal measurability, Christensen measurability, biadditive mappings
Article copyright: © Copyright 1988 American Mathematical Society