English

A mixing operator $T$ for which $(T, T^2)$ is not disjoint transitive

Functional Analysis 2016-11-28 v3

Abstract

Using a result from ergodic Ramsey theory, we answer a question posed by B\`es, Martin, Peris and Shkarin by showing a mixing operator TT on a Hilbert space such that the tuple (T,T2)(T, T^2) is not disjoint transitive.

Keywords

Cite

@article{arxiv.1505.00064,
  title  = {A mixing operator $T$ for which $(T, T^2)$ is not disjoint transitive},
  author = {Yunied Puig},
  journal= {arXiv preprint arXiv:1505.00064},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1411.7721