Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On a measure-theoretic problem of Arveson

Author(s): Richard Haydon; Victor Shulman
Journal: Proc. Amer. Math. Soc. 124 (1996), 497-503.
MSC (1991): Primary 28A35; Secondary 28A12, 47D25
MathSciNet review: 1301501
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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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