Algebrable sets of hypercyclic vectors for convolution operators

被引：0
|
作者：
Juan Bès
Dimitris Papathanasiou
机构：
[1] Bowling Green State University,Department of Mathematics and Statistics
[2] Université Clermont Auvergne,undefined
[3] CNRS,undefined
[4] LMBP,undefined
来源：
Israel Journal of Mathematics | 2020年 / 238卷
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学科分类号：
摘要：
We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkhoff’s operator also has this property on the space of complex-valued smooth functions on the real line.
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页码：91 / 119
页数：28
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