Algebrable sets of hypercyclic vectors for convolution operators
Functional Analysis
2019-03-26 v3
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.
Cite
@article{arxiv.1706.08651,
title = {Algebrable sets of hypercyclic vectors for convolution operators},
author = {Juan Bès and Dimitris Papathanasiou},
journal= {arXiv preprint arXiv:1706.08651},
year = {2019}
}