On S. Grivaux' example of a hypercyclic rank one perturbation of a   unitary operator
  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. 
Anton Baranov, Andrei Lishanskii
math.FA math.CV