A hypercyclic rank one perturbation of a unitary operator

2010/10/18 by Sophie Grivaux, Grivaux, Sophie
Computer Science · Mathematics · #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA

paper · pdf · doi:10.48550/arxiv.1010.3598

13 pages

arxiv created 2010/10/18 · arxiv updated 2010/10/19

Abstract

We prove that there exists a rank one perturbation of a unitary operator on a complex separable infinite dimensional Hilbert space which is hypercyclic.

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