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# The infinite direct products of probability measures and structural similarity

### 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.

### Article Information

 Title The infinite direct products of probability measures and structural similarity Source Methods Funct. Anal. Topology, Vol. 17 (2011), no. 1, 20-28 MathSciNet MR2815374 Copyright The Author(s) 2011 (CC BY-SA)

### Authors Information

Volodymyr Koshmanenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

### Citation Example

Volodymyr Koshmanenko, The infinite direct products of probability measures and structural similarity, Methods Funct. Anal. Topology 17 (2011), no. 1, 20-28.

### BibTex

@article {MFAT571,
AUTHOR = {Koshmanenko, Volodymyr},
TITLE = {The infinite direct products of probability measures and structural similarity},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {17},
YEAR = {2011},
NUMBER = {1},
PAGES = {20-28},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=571},
}