With cedram.org English français Home Overview Search for an article Submit a paper Informations for the authors Subscription Limited access - RUCHE Table of contents for this issue | Next article Frédéric Bayart; Étienne Matheron(Non-)weakly mixing operators and hypercyclicity sets(Opérateurs (non) faiblement mélangeants et ensembles d’hypercyclicité)Annales de l'institut Fourier, 59 no. 1 (2009), p. 1-35, doi: 10.5802/aif.2425 Article: subscription required (your ip address: 50.19.155.235) | Reviews MR 2514860 | Zbl 1178.47003 Class. Math.: 47A16, 37B99, 11B99Keywords: Hypercyclic operators, weak mixing, Sidon sequences Résumé - AbstractWe study the frequency of hypercyclicity of hypercyclic, non–weakly mixing linear operators. In particular, we show that on the space $\ell ^1(\mathbb{N})$, any sublinear frequency can be realized by a non–weakly mixing operator. A weaker but similar result is obtained for $c_0(\mathbb{N})$ or $\ell ^p(\mathbb{N})$, \$1