Factorization of measures and perfection

Adamski, Wolfgang

doi:10.1090/S0002-9939-1986-0831381-5

Factorization of measures and perfection

Author: Wolfgang Adamski
Journal: Proc. Amer. Math. Soc. 97 (1986), 30-32
MSC: Primary 28A50; Secondary 28A12, 60A10
DOI: https://doi.org/10.1090/S0002-9939-1986-0831381-5
MathSciNet review: 831381
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Abstract: It is proved that a probability measure defined on a countably generated measurable space $\left( {Y,\mathcal{C}} \right)$ is perfect iff every probability measure on ${\mathbf{R}} \times Y$ having as marginal can be factored. This result leads to a generalization of a theorem due to Blackwell and Maitra.

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