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A hypercyclic finite rank perturbation of a unitary operator
Authors:Stanislav Shkarin
Institution: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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