Mixing operators with prescribed unimodular eigenvectors
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。