Hereditarily hypercyclic operators and mixing
Journal of Mathematical Analysis and Applications(2007)
摘要
We show that hereditary transitivity (respectively strongly hereditary transitivity) is equivalent to weak mixing (respectively strong mixing) in a discrete dynamical system with Polish phase space. We also study the connection between local orbit structure and hypercyclicity, and obtain a “local hypercyclicity criterion.”
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关键词
Hypercyclic operator,Hypercyclicity criterion,Weak mixing,Strong mixing
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