Two problems on weighted shifts in linear dynamics

Frédéric Bayart (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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 Köthe sequence space supporting a frequently hypercyclic weighted shift, but no chaotic weighted shifts.

Domaines: Analyse fonctionnelle [math.FA]

Frédéric Bayart. Two problems on weighted shifts in linear dynamics. Proceedings of the American Mathematical Society, 2021, 149 (12), pp.5255-5266. ⟨hal-03103403⟩