Examples of natural extensions of nonsingular endomorphisms

Autor: Dajani, K. G., Hawkins, J. M.
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