On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator
Functional Analysis
2014-01-10 v1 Complex Variables
Abstract
Recently, Sophie Grivaux showed that there exists a rank one perturbation of a unitary operator in a Hilbert space which is hypercyclic. We give a similar construction using a functional model for rank one perturbations of singular unitary operators.
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Cite
@article{arxiv.1401.1934,
title = {On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator},
author = {Anton Baranov and Andrei Lishanskii},
journal= {arXiv preprint arXiv:1401.1934},
year = {2014}
}
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11 pages