×

zbMATH — the first resource for mathematics

The commutant is the weak closure of the powers, for rank-1 transformations. (English) Zbl 0595.47005
See the preview in Zbl 0581.47003.

MSC:
47A35 Ergodic theory of linear operators
47D03 Groups and semigroups of linear operators
28D05 Measure-preserving transformations
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1007/BF02761532 · Zbl 0264.54030 · doi:10.1007/BF02761532
[2] DOI: 10.1007/BF01692494 · Zbl 0146.28502 · doi:10.1007/BF01692494
[3] Friedman, J. Math. Mech. 20 pp 767– (1971)
[4] DOI: 10.2307/2037424 · Zbl 0197.04001 · doi:10.2307/2037424
[5] del Junco, Can. J. Math. 28 pp 836– (1976) · Zbl 0312.47003 · doi:10.4153/CJM-1976-080-3
[6] Rudolph, J. d’Analyse Math. 35 pp 97– (1979)
[7] DOI: 10.1007/BF01223133 · Zbl 0399.28011 · doi:10.1007/BF01223133
[8] del Junco, J. Analyse Math. 37 pp 276– (1980)
[9] Ornstein, Proc. Sixth Berkeley Symp. Math. Slat. Prob. Vol II pp 347– (1967)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.