Mixing operators with prescribed unimodular eigenvalues
| Autor: | Hans-Peter Beise, Jürgen Müller, Leonhard Frerick |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Computer Science::Information Retrieval Applied Mathematics General Mathematics 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS 01 natural sciences Unimodular matrix 0103 physical sciences 010307 mathematical physics 0101 mathematics Mixing (physics) Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Ergodic Theory and Dynamical Systems. 42:1-8 |
| ISSN: | 1469-4417 0143-3857 |
| DOI: | 10.1017/etds.2020.135 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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