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arXiv · 2001.07389

Mixing operators with prescribed unimodular eigenvectors

Hans-Peter Beise·Leonhard Frerick·Jürgen Müller
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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 unimodular eigenvectors with eigenvalues restricted to $Z$. In particular, these operators cannot be ergodic in the Gaussian sense.

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Hans-Peter Beise, Leonhard Frerick, Jürgen Müller. 2020-01-21. Mixing operators with prescribed unimodular eigenvectors. https://arxiv.org/abs/2001.07389

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