Zero-one law of orbital limit points for weighted shifts
Antonio Bonilla,
Karl-G. Grosse-Erdmann
Abstract:Chan and Seceleanu have shown that if a weighted shift on ℓ p (Z) admits an orbit with a non-zero limit point then it is hypercyclic. We present a new proof of this result that allows to extend it to very general sequence spaces. Under a stronger assumption on the orbit we also obtain that the weighted shift is chaotic.
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