We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.

中文翻译：

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混沌线性算子的周期集

我们提供了希尔伯特空间上Devaney混沌线性算子的可能周期集的完整表征。结果，我们还导出了对Banach空间上的线性化图的这种表征。