For mixing transformations \(rank(T^ k)=k\cdot rank(T)\)

DOI10.1007/BF02776244zbMath0626.47012OpenAlexW2078324071MaRDI QIDQ580678

Jonathan L. King

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02776244

zbMATH Keywords

partial rigidityessential commutantfinite-rank transformationsmixing map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)

Related Items (5)

A lower bound on the rank of mixing extensions ⋮ Joining-rank and the structure of finite rank mixing transformations ⋮ The Self-Joinings of Rank Two Mixing Transformations ⋮ Unnamed Item ⋮ The centralizer of a rank-one flow

Cites Work

• The commutant is the weak closure of the powers, for rank-1 transformations

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