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arxiv: 1707.03994 · v1 · pith:VU3TRR4Qnew · submitted 2017-07-13 · 🧮 math.FA

Frequently hypercyclic bilateral shifts

classification 🧮 math.FA
keywords frequentlyhypercyclicbilateralshiftsupperweightedanswerbanach
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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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