Hypercyclicity and topological uniform descent of bounded linear operators
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摘要: 利用算子的拓扑一致降标, 给出了算子~$A\in\overline{HC(H)}$~的判定方法, 其中~$\overline{HC(H)}$~表示无限维可分的复~Hilbert~空间~$H$~上所有亚循环算子集合的范数闭包.Abstract: By using the property of topological uniform descent, this paper gave the judgement for an operator $A\in\overline{HC(H)}$, where $\overline{HC(H)}$ denoting the norm-closure of the class of all the hypercyclic operators on an infinite dimensional separable complex Hilbert space $H$.
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