希尔伯特C*-模上的不交强传递算子
Disjoint strong transitive operators on Hilbert C*-modules
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中文总结 AI 辅助
本文研究希尔伯特C*-模上的不交F-传递算子，刻画广义双边加权移位算子与广义平移算子的不交F-传递性，给出算子不交混沌的充分条件并提供应用实例。
中文摘要 AI 辅助
本文研究希尔伯特C*-模上的不交F-传递算子，其中F是自然数集N的子集构成的有限不变Furstenberg族。我们刻画了可分希尔空间上紧算子的C*-代数的标准希尔模上的广义双边加权移位算子的不交F-传递性，给出这类算子不交混沌的充分条件并提供具体例子，还刻画了非幺正C*-代数上的广义平移算子的不交F-传递性并给出若干应用。
英文摘要
This paper is about disjoint F-transitive operators on Hilbert C*-modules, where F is a finitely invariant Furstenberg family of subsets of N. We characterize disjoint F-transitivity for generalized bilateral weighted shift operators on the standard Hilbert module over C*-algebra of compact operators on the separable Hilbert space. Then we give a sufficient condition for these operators to be disjoint chaotic and give concrete examples. We also characterize disjoint F-transitivity for generalized translation operators on the non-unitary C*-algebra and provide some applications.
