A mixing operator T for which (T, T2) is not disjoint transitive

Yunied Puig

doi:10.4064/sm8714-10-2016

A mixing operator T for which (T, T2) is not disjoint transitive

Yunied Puig

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Using a result from ergodic Ramsey theory, we answer a question posed by Bes, Martin, Peris and Shkarin by exhibiting a mixing operator T on a Hilbert space such that the tuple (T; T²) is not disjoint transitive.

Original language	English
Pages (from-to)	283-296
Number of pages	14
Journal	Studia Mathematica
Volume	237
Issue number	3
DOIs	https://doi.org/10.4064/sm8714-10-2016
State	Published - 1 Jan 2017
Externally published	Yes

Keywords

Disjoint transitive operators
Mixing operators

ASJC Scopus subject areas

General Mathematics

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10.4064/sm8714-10-2016

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abstract = "Using a result from ergodic Ramsey theory, we answer a question posed by Bes, Martin, Peris and Shkarin by exhibiting a mixing operator T on a Hilbert space such that the tuple (T; T2) is not disjoint transitive.",

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AB - Using a result from ergodic Ramsey theory, we answer a question posed by Bes, Martin, Peris and Shkarin by exhibiting a mixing operator T on a Hilbert space such that the tuple (T; T2) is not disjoint transitive.

KW - Disjoint transitive operators

KW - Mixing operators

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A mixing operator T for which (T, T2) is not disjoint transitive

Abstract

Keywords

ASJC Scopus subject areas

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