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A hypercyclic finite rank perturbation of a unitary operator

2010/08/20 by Stanislav Shkarin, Shkarin, Stanislav
Computer Science · Mathematics · #Advanced Topics in Algebra #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.FA

paper · pdf · doi:10.48550/arxiv.1008.3490

published in Mathematische Annalen

arxiv created 2010/08/20 · arxiv updated 2010/08/23

Abstract

A unitary operator V and a rank 2 operator R acting on a Hilbert space \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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