A hypercyclic rank one perturbation of a unitary operator
Functional Analysis
2010-10-19 v1
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.
Cite
@article{arxiv.1010.3598,
title = {A hypercyclic rank one perturbation of a unitary operator},
author = {Sophie Grivaux},
journal= {arXiv preprint arXiv:1010.3598},
year = {2010}
}
Comments
13 pages