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ArticleOriginal scientific text

Title

Hypercyclic and chaotic weighted shifts

Authors 1

Affiliations

  1. Fachbereich Mathematik, Fernuniversität Hagen, 58084 Hagen, Germany.

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 (en) form a Schauder basis. If the basis is unconditional we give a characterisation of those hypercyclic weighted shifts that are even chaotic.

Keywords

ENG
F-spaces, topological sequence spaces, weighted shift operators, weighted pseudo-shifts, hypercyclic operators, chaotic operators

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Studia Mathematica
2000/139/1
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Pages:
47-68
Main language of publication
English
Received
1999-09-09
Accepted
2000-01-07
Published
2000
Exact and natural sciences