Hypercyclic and chaotic weighted shifts
Volume 139 / 2000
Studia Mathematica 139 (2000), 47-68
DOI: 10.4064/sm-139-1-47-68
Abstract
Extending previous results of H. Salas we obtain a characterisation of hypercyclic weighted shifts on an arbitrary F-sequence space in which the canonical unit vectors $(e_n)$ form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.
