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Aron, Richard M. and Seoane-Sepúlveda, Juan B. and Weber, Andreas
(2005)
*Chaos on function spaces.*
Bulletin of the Australian Mathematical Society, 71
(3).
pp. 411-415.
ISSN 0004-9727

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Official URL: http://journals.cambridge.org/abstract_S0004972700038417

## Abstract

We give a sufficient condition for an operator to be chaotic and we use this condition to show that, in the Banach space C-0[0, infinity) the operator (T(lambda,c)f) (t) = lambda f (t + c) (with lambda > 1 and c > 0) is chaotic, with every n is an element of N being a period for this operator. We also describe a technique to construct, explicitly, hypercyclic functions for this operator.

Item Type: | Article |
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Uncontrolled Keywords: | Hypercyclic and chaotic operators; Function spaces |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 20215 |

Deposited On: | 04 Mar 2013 15:36 |

Last Modified: | 10 Aug 2018 11:43 |

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