Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T09:33:03.075Z Has data issue: false hasContentIssue false

On a Bernoulli shift with non-identical factor measures

Published online by Cambridge University Press:  19 September 2008

Toshihiro Hamachi
Affiliation:
Department of Mathematics, Kyushu University, Ropponmatsu, Chuo-Ku, Fukuoka 810, Japan
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

There exists a Bernoulli shift with non-identical factor measures for which no invariant σ-finite equivalent measure exists.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1981

References

REFERENCES

[1]Chacon, R. V. & Ornstein, D. S.. A general ergodic theorem. Illinois J. Math. 4 (1960), 153160.CrossRefGoogle Scholar
[2]Kakutani, S.. On equivalence of infinite product measures. Ann. Math. 49 (1948), 214224.Google Scholar
[3]Krengel, U.. Transformations without finite invariant measure have finitestrong generators. Lecture Notes in Math. no. 160, pp. 135–157. Springer-Verlag: Berlin, 1970.Google Scholar