Discrete subsemigroups of hypercyclic C0-semigroups are hypercyclic
Wolfgang Desch, Wilhelm Schappacher · Ergodic Theory and Dynamical Systems · 2005
If S ( t ) is a C 0 -semigroup on a Banach space X with a hypercyclic vector x , then x is a hypercyclic vector for each discrete semigroup $\lbrace S(kT)\mid k \in \mathbb{N}\rbrace$ with T > 0 fixed.