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Common hypercyclic vectors for multiples of backward shift

Functional Analysis 2016-09-07 v1

Abstract

We prove that the space l2l^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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Cite

@article{arxiv.math/0112085,
  title  = {Common hypercyclic vectors for multiples of backward shift},
  author = {Evgeny Abakumov and Julia Gordon},
  journal= {arXiv preprint arXiv:math/0112085},
  year   = {2016}
}

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10 pages