Proceedings of the American Mathematical Society

Author(s): Richard Haydon; Victor Shulman
Journal: Proc. Amer. Math. Soc. 124 (1996), 497-503.
MSC (1991): Primary 28A35; Secondary 28A12, 47D25
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Abstract: A probability measure $\nu$ on a product space $X\times Y$ is said to be bistochastic with respect to measures $\lambda$ on $X$

and $\mu$ on $Y$

if the marginals $\pi _1(\nu )$ and $\pi _2(\mu )$ are exactly $\lambda$ and $\mu$ . A solution is presented to a problem of Arveson about sets which are of measure zero for all such $\nu$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 28A35, 28A12, 47D25

Richard Haydon
Affiliation: Brasenose College, Oxford OX1 4AJ, United Kingdom
Email: richard.haydon@brasenose.oxford.ac.uk

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