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Article Dans Une Revue Journal of Functional Analysis Année : 2003

Common hypercyclic vectors for multiples of backward shift

J Gordon
  • Fonction : Auteur

Résumé

We prove that l(2) contains vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1. The set of such vectors is dense G(delta). (C) 2002 Elsevier Science (USA). All rights reserved.

Dates et versions

hal-00693496 , version 1 (02-05-2012)

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Evgeny Abakumov, J Gordon. Common hypercyclic vectors for multiples of backward shift. Journal of Functional Analysis, 2003, 200 (2), pp.494--504. ⟨10.1016/S0022-1236(02)00030-7⟩. ⟨hal-00693496⟩
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