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Factorization of measures and perfection

Author: Wolfgang Adamski
Journal: Proc. Amer. Math. Soc. 97 (1986), 30-32
MSC: Primary 28A50; Secondary 28A12, 60A10
MathSciNet review: 831381
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Abstract: It is proved that a probability measure $ P$ defined on a countably generated measurable space $ \left( {Y,\mathcal{C}} \right)$ is perfect iff every probability measure on $ {\mathbf{R}} \times Y$ having $ P$ as marginal can be factored. This result leads to a generalization of a theorem due to Blackwell and Maitra.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1986 American Mathematical Society

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