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arXiv · 1707.03994

Frequently hypercyclic bilateral shifts

Karl-G. Grosse-Erdmann
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Abstract

It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer. We characterise, more generally, when bilateral weighted shifts on Banach sequence spaces are (upper) frequently hypercyclic.

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Karl-G. Grosse-Erdmann. 2017-07-13. Frequently hypercyclic bilateral shifts. https://arxiv.org/abs/1707.03994

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