Zero-one law of orbital limit points for weighted shifts

Antonio Bonilla, Rodrigo Cardeccia, Karl-G. Grosse-Erdmann +1

Chan and Seceleanu have shown that if a weighted shift operator on ${\ell }^p(\mathbb{Z})$, $1\le p<\infty$, admits an orbit with a non-zero limit point then it is hypercyclic. We pr…