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A hypercyclic finite rank perturbation of a unitary operator |
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| Authors: | Stanislav Shkarin |
| Affiliation: | 1. Queens’s University Belfast, Belfast, UK |
| Abstract: | A unitary operator V and a rank 2 operator R acting on a Hilbert space H{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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