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Mixing operators with prescribed unimodular eigenvalues
Published online by Cambridge University Press: 28 December 2020
Abstract
For arbitrary closed countable subsets Z of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of eigenvectors with unimodular eigenvalues restricted to Z. In particular, these operators cannot be ergodic in the Gaussian sense.
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- © The Author(s), 2020. Published by Cambridge University Press