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On S. Grivaux’ example of a hypercyclic rank one perturbation of a unitary operator. / Baranov, A.; Lishanskii, A.

In: Archiv der Mathematik, No. 3, 2015, p. 223-235.

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@article{cf64e38cf184490a82294fd426a44282,
title = "On S. Grivaux{\textquoteright} example of a hypercyclic rank one perturbation of a unitary operator",
abstract = "{\textcopyright} 2015, Springer Basel.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.",
author = "A. Baranov and A. Lishanskii",
year = "2015",
doi = "10.1007/s00013-015-0736-7",
language = "English",
pages = "223--235",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On S. Grivaux’ example of a hypercyclic rank one perturbation of a unitary operator

AU - Baranov, A.

AU - Lishanskii, A.

PY - 2015

Y1 - 2015

N2 - © 2015, Springer Basel.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.

AB - © 2015, Springer Basel.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.

U2 - 10.1007/s00013-015-0736-7

DO - 10.1007/s00013-015-0736-7

M3 - Article

SP - 223

EP - 235

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 3

ER -

ID: 3999645