A note on quasi-similarity of Koopman operators
Dynamical Systems
2014-05-19 v2 Functional Analysis
Abstract
Answering a question of A. Vershik we construct two non-weakly isomorphic ergodic automorphisms for which the associated unitary (Koopman) representations are Markov quasi-similar. We also discuss metric invariants of Markov quasi-similarity in the class of ergodic automorphisms.
Keywords
Cite
@article{arxiv.0903.3109,
title = {A note on quasi-similarity of Koopman operators},
author = {Krzysztof Fraczek and Mariusz Lemanczyk},
journal= {arXiv preprint arXiv:0903.3109},
year = {2014}
}
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15 pages