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arxiv: math/0112085 · v1 · pith:HMELYANYnew · submitted 2001-12-08 · 🧮 math.FA

Common hypercyclic vectors for multiples of backward shift

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keywords backwardhypercyclicmultiplesshiftvectorsabsolutecommonconstants
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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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