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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On set correspondences into uniformly convex Banach spaces


Author: David Schmeidler
Journal: Proc. Amer. Math. Soc. 34 (1972), 97-101
MSC: Primary 28A55
DOI: https://doi.org/10.1090/S0002-9939-1972-0293058-7
MathSciNet review: 0293058
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Abstract: It is proved that the values of a set-valued set function, the total variation of which is an atomless finite measure, are conditionally convex.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0293058-7
Article copyright: © Copyright 1972 American Mathematical Society