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arXiv · 2101.02989

Two problems on weighted shifts in linear dynamics

Frédéric Bayart
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Abstract

We show that an invertible bilateral weighted shift is strongly structurally stable if and only if it has the shadowing property. We also exhibit a K{\"o}the sequence space supporting a frequently hypercyclic weighted shift, but no chaotic weighted shifts.

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Frédéric Bayart. 2021-01-08. Two problems on weighted shifts in linear dynamics. https://arxiv.org/abs/2101.02989

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