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arXiv · 1706.08651

Algebrable sets of hypercyclic vectors for convolution operators

Juan Bès·Dimitris Papathanasiou
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Abstract

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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Juan Bès, Dimitris Papathanasiou. 2017-06-27. Algebrable sets of hypercyclic vectors for convolution operators. https://arxiv.org/abs/1706.08651

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