论文标题
将操作员与规定的单型特征向量混合
Mixing operators with prescribed unimodular eigenvectors
论文作者
论文摘要
对于任意封闭的可数亚集，给出了希尔伯特空间上拓扑混合操作员的单位圆的示例，这些示例具有一组密集跨度的单型特征向量，其特征值限于$ z $。特别是，这些操作员在高斯的意义上不能是奇异的。
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.
