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Common hypercyclic vectors for multiples of backward shift

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

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