Dynamics of the differentiation operator on weighted spaces of entire functions
Dynamics of the differentiation operator on weighted spaces of entire functions
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DOI：
10.1007/s00209-008-0347-0
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发表时间：
2009-03
影响因子：
0.8
通讯作者：
J. Bonet
中科院分区：
文献类型：
--
作者：
J. Bonet
最近Harutyunyan和Lusky刻画了赋超范数整函数的加权Banach空间上的微分算子的连续性。给出了整函数加权Banach空间上的微分算子连续时是超循环的或混沌的充要条件。
The continuity of the differentiation operator on weighted Banach spaces of entire functions with sup-norm has been characterized recently by Harutyunyan and Lusky. We give necessary and sufficient conditions to ensure that the differentiation operator on these weighted Banach spaces of entire functions is hypercyclic or chaotic, when it is continuous.