A hypercyclic rank one perturbation of a unitary operator

Sophie Grivaux (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We prove that there exists a rank 1 perturbation of a unitary operator on a complex separable infinite dimensional Hilbert space which is hypercyclic.

Mots clés: Linear dynamical systems; hypercyclic operators; finite rank perturbations of unitary operators.

Domaines: Systèmes dynamiques [math.DS]

Sophie Grivaux. A hypercyclic rank one perturbation of a unitary operator. Mathematical News / Mathematische Nachrichten, 2012, 285 (5-6), pp.533 - 544. ⟨10.1002/mana.201000112⟩. ⟨hal-03982414⟩