A hypercyclic finite rank perturbation of a unitary operator

Details A hypercyclic finite rank perturbation of a unitary operator A hypercyclic finite rank perturbation of a unitary operator

2010-08-20

arxiv.org/abs/1008.3490v1

Mathematics

Functional Analysis

published in Mathematische Annalen

Scientific paper

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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