Abstract
A unitary operator V and a rank 2 operator R acting on a Hilbert space \({\mathcal{H}}\) are constructed such that V + R is hypercyclic. This answers affirmatively a question of Salas whether a finite rank perturbation of a hyponormal operator can be supercyclic.
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Shkarin, S. A hypercyclic finite rank perturbation of a unitary operator. Math. Ann. 348, 379–393 (2010). https://doi.org/10.1007/s00208-010-0479-5
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DOI: https://doi.org/10.1007/s00208-010-0479-5