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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a measure-theoretic problem of Arveson
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by Richard Haydon and Victor Shulman PDF
Proc. Amer. Math. Soc. 124 (1996), 497-503 Request permission

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 $\nu$.
References
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Additional Information
  • Richard Haydon
  • Affiliation: Brasenose College, Oxford OX1 4AJ, United Kingdom
  • Email: richard.haydon@brasenose.oxford.ac.uk
  • Victor Shulman
  • Affiliation: Polytechnic Institute, Lenina Street, 16000 Vologda, Russia
  • Email: vagor@vpi.vologda.su
  • Received by editor(s): August 29, 1994
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 497-503
  • MSC (1991): Primary 28A35; Secondary 28A12, 47D25
  • DOI: https://doi.org/10.1090/S0002-9939-96-03076-6
  • MathSciNet review: 1301501