A mixing operator $T$ for which $(T, T^2)$ is not disjoint transitive
Volume 237 / 2017
Studia Mathematica 237 (2017), 283-296
MSC: Primary 47A16; Secondary 05D10.
DOI: 10.4064/sm8714-10-2016
Published online: 9 March 2017
Abstract
Using a result from ergodic Ramsey theory, we answer a question posed by Bès, Martin, Peris and Shkarin by exhibiting a mixing operator $T$ on a Hilbert space such that the tuple $(T, T^2)$ is not disjoint transitive.
