Ergodic measure preserving transformations with quasi-discrete spectrum-Reference-Cited by-同舟云学术

Ergodic measure preserving transformations with quasi-discrete spectrum

Published:1974 Issue:0 Volume:190 Page:301-311
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Robertson James B.

Abstract

It is shown that an ergodic measure preserving transformation with quasi-discrete spectrum is conjugate to: (a) the skew-product of an ergodic measure preserving transformation with discrete spectrum and a measurable family of totally ergodic measure preserving transformations with quasi-discrete spectrum; (b) a factor of the direct product of an ergodic measure preserving transformation with discrete spectrum and a totally ergodic measure preserving transformation with quasi-discrete spectrum. Sufficient conditions are given to insure that an ergodic measure preserving transformation with quasi-discrete spectrum is conjugate to the direct product of an ergodic measure preserving transformation with discrete spectrum and a totally ergodic measure preserving transformation with quasi-discrete spectrum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-190-00/S0002-9947-1974-0344419-5/S0002-9947-1974-0344419-5.pdf

Reference6 articles.

1. Metric automorphisms with quasi-discrete spectrum;Abramov, L. M.;Izv. Akad. Nauk SSSR Ser. Mat.,1962

2. Minimal dynamical systems with quasi-discrete spectrum;Hahn, Frank;J. London Math. Soc.,1965

3. Some characteristic properties of dynamical systems with quasi-discrete spectra;Hahn, Frank;Math. Systems Theory,1968

4. Publications of the Mathematical Society of Japan;Halmos, Paul R.,1956

5. A. Kuroš, Theory of groups, GITTL, Moscow, 1953; English transl. of 2nd ed., Vol. I, Chelsea, New York, 1955. MR 15, 501; 17, 124.

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