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Katznelson, Yitzhak; Weiss, Benjamin

Commuting measure-preserving transformations. (English) Zbl 0239.28014

Isr. J. Math. 12, 161-173 (1972).
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Cited in 1 Review
Cited in 63 Documents

MSC:

28D05 Measure-preserving transformations
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References:

[1] N. Dunford and J. T. Schwartz,Linear Operators I, (Chapter 8), N. Y., 1958. · Zbl 0084.10402
[2] P. Halmos,Lectures on Ergodic Theory, The Mathematical Society of Japan, Tokyo, 1956. · Zbl 0073.09302
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[4] W. Krieger,On entropy and generators of measure-preserving transformations, TAMS149 (1970), 453–464. · Zbl 0204.07904 · doi:10.1090/S0002-9947-1970-0259068-3
[5] D. S. Ornstein,Bernoulli shifts with the same entropy are isomorphic, Advances in Math.4 (1970), 337–352. · Zbl 0197.33502 · doi:10.1016/0001-8708(70)90029-0
[6] D. S. Ornstein,Two Bernoulli shifts with infinite entropy are isomorphic, Advances in Math.6 (1970), 339–348. · Zbl 0227.28014 · doi:10.1016/0001-8708(70)90008-3
[7] D. S. Ornstein,Factors of Bernoulli shifts are Bernoulli shifts, Advances in Math.5 (1970), 349–364. · Zbl 0227.28015 · doi:10.1016/0001-8708(70)90009-5
[8] V. A. Rokhlin,A general measure-preserving transformation is not mixing, Dokl. Akad. Nauk SSSR60 (1948), 349–351. · Zbl 0033.06601
[9] V. A. Rokhlin,Lectures on the entropy theory of transformations with invariant measure, Uspehi Math. Nauk22 (1967), 3–56.
[10] D. Ruelle,Statistical Mechanics, N.Y., 1969.
[11] M. Smorodinsky,Ergodic Theory, Entropy, Lecture Notes in Mathematics, No. 214, 1971. · Zbl 0213.07502
[12] B. Weiss,The isomorphism problem in ergodic theory, BAMS (to appear). · Zbl 0255.28014
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