Geodesic
Hypercyclic and chaotic weighted shifts
Studia Mathematica, Tome 139 (2000) no. 1, pp. 47-68

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-139-1-47-68
Keywords: F-spaces, topological sequence spaces, weighted shift operators, weighted pseudo-shifts, hypercyclic operators, chaotic operators

K-G Grosse-Erdmann 1

1 
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K-G Grosse-Erdmann. Hypercyclic and chaotic weighted shifts. Studia Mathematica, Tome 139 (2000) no. 1, pp. 47-68. doi: 10.4064/sm-139-1-47-68

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