A hypercyclic finite rank perturbation of a unitary operator

Stanislav Shkarin

doi:10.1007/s00208-010-0479-5

A hypercyclic finite rank perturbation of a unitary operator

Stanislav Shkarin

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 language	English
Pages (from-to)	379-393
Number of pages	15
Journal	Mathematische Annalen
Volume	348
Issue number	2
DOIs	https://doi.org/10.1007/s00208-010-0479-5
Publication status	Published - 2010

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s00208-010-0479-5

Cite this

@article{39767f11bd4e4641b4e6e2948a521f5a,

title = "A hypercyclic finite rank perturbation of a unitary operator",

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.",

author = "Stanislav Shkarin",

year = "2010",

doi = "10.1007/s00208-010-0479-5",

language = "English",

volume = "348",

pages = "379--393",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - A hypercyclic finite rank perturbation of a unitary operator

AU - Shkarin, Stanislav

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

U2 - 10.1007/s00208-010-0479-5

DO - 10.1007/s00208-010-0479-5

M3 - Article

SN - 0025-5831

VL - 348

SP - 379

EP - 393

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 2

ER -

A hypercyclic finite rank perturbation of a unitary operator

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this