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.

Full Text

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},
  MRNUMBER = {MR2815374},
       URL = {http://mfat.imath.kiev.ua/article/?id=571},
}