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Journal Articles Journal of Functional Analysis Year : 2003

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.

Dates and 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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