Examples of natural extensions of nonsingular endomorphisms
Autor: | Dajani, K. G., Hawkins, J. M. |
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Zdroj: | Proceedings of the American Mathematical Society; 1994, Vol. 120 Issue: 4 p1211-1217, 7p |
Abstrakt: | We extend a nonsingular noninvertible map $ T$ $ (X,\mathcal{B},\mu )$ as a factor and preserving some measure theoretic properties of $ T$. We compute some examples of natural extensions: first when $ T$ a product measure, and then generalize the result to some nonexact examples as well. |
Databáze: | Supplemental Index |
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