A hypercyclic finite rank perturbation of a unitary operator

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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.
Original languageEnglish
Pages (from-to)379-393
Number of pages15
JournalMathematische Annalen
Volume348
Issue number2
DOIs
Publication statusPublished - 2010

ASJC Scopus subject areas

  • Mathematics(all)

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