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On exact endomorphisms with a quasi-invariant measure
V. G. Sharapov Tashkent State University
Abstract:
In this paper it is proved that for any measurable partition $\xi$, $\xi\ne\varepsilon\pmod0$, of Lebesgue space with continuous measure that does not have elements of positive measure, there exists an exact endomorphism $T$ with a quasi-invariant measure for which $T^{-1}\varepsilon=\xi$.
Received: 10.01.1975
Citation:
V. G. Sharapov, “On exact endomorphisms with a quasi-invariant measure”, Mat. Zametki, 21:1 (1977), 99–108; Math. Notes, 21:1 (1977), 54–59
Linking options:
https://www.mathnet.ru/eng/mzm7934 https://www.mathnet.ru/eng/mzm/v21/i1/p99
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Abstract page: | 218 | Full-text PDF : | 69 | First page: | 1 |
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