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Common hypercyclic vectors for multiples of backward shift

Evgeny Abakumov·Julia Gordon
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Abstract

We prove that the space $l^2$ contains a dense set of vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1.

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Evgeny Abakumov, Julia Gordon. 2001-12-08. Common hypercyclic vectors for multiples of backward shift. https://arxiv.org/abs/math/0112085

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