Common hypercyclic vectors for multiples of backward shift

Details Common hypercyclic vectors for multiples of backward shift Common hypercyclic vectors for multiples of backward shift

2001-12-08

arxiv.org/abs/math/0112085v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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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