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

 

Continuity of measurable convex and biconvex operators


Author: Lionel Thibault
Journal: Proc. Amer. Math. Soc. 90 (1984), 281-284
MSC: Primary 46A40
MathSciNet review: 727250
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Abstract: We prove that a mapping from the product of two complete metrizable vector spaces into a topological vector space which is separately universally measurable and separately convex with respect to a convex cone is continuous.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0727250-X
PII: S 0002-9939(1984)0727250-X
Keywords: Convex operators, biconvex operators, universally measurable mappings
Article copyright: © Copyright 1984 American Mathematical Society