On the Hypercyclicity Criterion for operators of Read's type

Sophie Grivaux (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, that $T$ satisfies the Hypercyclicity Criterion.

Domaines: Analyse fonctionnelle [math.FA]; Systèmes dynamiques [math.DS]

Sophie Grivaux. On the Hypercyclicity Criterion for operators of Read's type. The Mathematical Legacy of Victor Lomonosov, 2, De Gruyter; De Gruyter, pp.139-147, 2020, Advances in Analysis and Geometry, ⟨10.1515/9783110656756-011⟩. ⟨hal-02267535⟩