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arXiv · 1804.02951

Common upper frequent hypercyclicity

Monia Mestiri
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Abstract

Considering a family of upper frequently hypercyclic operators we care about the existence of vectors which are upper frequently hypercyclic for any operator of this family. We establish sufficient conditions for a family of operators to have these vectors called common upper frequently hypercyclic vectors. Using this result, we then give a construction of such vectors. Finally we derive some applications to families of weighted shifts.

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Monia Mestiri. 2018-04-16. Common upper frequent hypercyclicity. https://arxiv.org/abs/1804.02951

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