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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Processes disjoint from weak mixing


Authors: S. Glasner and B. Weiss
Journal: Trans. Amer. Math. Soc. 316 (1989), 689-703
MSC: Primary 28D05; Secondary 54H20
DOI: https://doi.org/10.1090/S0002-9947-1989-0946217-9
MathSciNet review: 946217
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Abstract: We show that the family $ {\mathcal{W}^ \bot }$ of ergodic measure preserving transformations which are disjoint from every weakly mixing m.p.t. properly contains the family $ \mathcal{D}$ of distal ergodic m.p.t. In the topological case we show that $ \mathcal{P}\mathcal{I}$, the family of proximally isometric flows is properly contained in the family $ \mathcal{M}({\mathcal{W}^ \bot })$ of multipliers for $ {\mathcal{W}^ \bot }$.


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DOI: https://doi.org/10.1090/S0002-9947-1989-0946217-9
Article copyright: © Copyright 1989 American Mathematical Society