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

Andrei Lishanskii; Anton Baranov

arxiv: 1401.1934 · v1 · pith:Q762HDVJnew · submitted 2014-01-09 · 🧮 math.FA · math.CV

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

Anton Baranov , Andrei Lishanskii This is my paper

classification 🧮 math.FA math.CV

keywords rankunitarygrivauxhypercyclicoperatorperturbationconstructionexample

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

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