On S. Grivaux' example of a hypercyclic rank one perturbation of a unitary operator

2014/01/09 by Anton Baranov, Baranov, Anton, Andrei Lishanskii +1
Computer Science · Mathematics · #30A76 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Primary: 47A16. Secondary: 47A45 #Spectral Theory in Mathematical Physics #math.CV #math.FA #msc:30A76 #msc:47A16. #msc:47A45

paper · pdf · doi:10.48550/arxiv.1401.1934

11 pages

arxiv created 2014/01/09 · openalex publication_date 2014/01/09 · arxiv updated 2014/01/10 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

Recently, Sophie Grivaux showed that there exists a rank one perturbation of a unitary operator in a Hilbert space which is hypercyclic. We give a similar construction using a functional model for rank one perturbations of singular unitary operators.

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