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arXiv 2001.07389math.DS
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Mixing operators with prescribed unimodular eigenvectors

Hans-Peter Beise, Leonhard Frerick, Jürgen Müller

英文摘要:

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 unimodular eigenvectors with eigenvalues restricted to $Z$. In particular, these operators cannot be ergodic in the Gaussian sense.

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