The infinite direct products of probability measures and structural similarity

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Abstract

We show that any similar structure measure on the segment $[0,1]$ is an image-measure of the appropriate constructed infinite direct product of discrete probability measures.

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Published

2011-03-25

Issue

Vol. 17 No. 1 (2011)

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Articles

How to Cite

Koshmanenko, V. D. “The Infinite Direct Products of Probability Measures and Structural Similarity”. Methods of Functional Analysis and Topology, vol. 17, no. 1, Mar. 2011, pp. 20-28, https://zen.imath.kiev.ua/index.php/mfat/article/view/467.