On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator

Anton Baranov; Andrei Lishanskii

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arXiv · 1401.1934

On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator

Anton Baranov·Andrei Lishanskii

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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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Anton Baranov, Andrei Lishanskii. 2014-01-09. On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator. https://arxiv.org/abs/1401.1934

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