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New classes of hypercyclic Toeplitz operators. / Abakumov, Evgeny; Baranov, Anton; Charpentier, Stéphane; Lishanskii, Andrei.

In: Bulletin des Sciences Mathematiques, Vol. 168, 102971, 01.05.2021.

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

Harvard

Abakumov, E, Baranov, A, Charpentier, S & Lishanskii, A 2021, 'New classes of hypercyclic Toeplitz operators', Bulletin des Sciences Mathematiques, vol. 168, 102971. https://doi.org/10.1016/j.bulsci.2021.102971

APA

Abakumov, E., Baranov, A., Charpentier, S., & Lishanskii, A. (2021). New classes of hypercyclic Toeplitz operators. Bulletin des Sciences Mathematiques, 168, [102971]. https://doi.org/10.1016/j.bulsci.2021.102971

Vancouver

Abakumov E, Baranov A, Charpentier S, Lishanskii A. New classes of hypercyclic Toeplitz operators. Bulletin des Sciences Mathematiques. 2021 May 1;168. 102971. https://doi.org/10.1016/j.bulsci.2021.102971

Author

Abakumov, Evgeny ; Baranov, Anton ; Charpentier, Stéphane ; Lishanskii, Andrei. / New classes of hypercyclic Toeplitz operators. In: Bulletin des Sciences Mathematiques. 2021 ; Vol. 168.

BibTeX

@article{fea4f18250634b888331e557bff142eb,
title = "New classes of hypercyclic Toeplitz operators",
abstract = "We study hypercyclicity of Toeplitz operators in the Hardy space H2(D) with symbols of the form R(z‾)+φ(z), where R is a rational function and φ∈H∞(D). We relate this problem to cyclicity of certain families of functions for analytic Toeplitz operators and give new sufficient conditions for hypercyclicity based on deep results of B. Solomyak.",
keywords = "Hypercyclic operator, Toeplitz operator, Univalent function",
author = "Evgeny Abakumov and Anton Baranov and St{\'e}phane Charpentier and Andrei Lishanskii",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Masson SAS",
year = "2021",
month = may,
day = "1",
doi = "10.1016/j.bulsci.2021.102971",
language = "English",
volume = "168",
journal = "Bulletin des Sciences Mathematiques",
issn = "0007-4497",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - New classes of hypercyclic Toeplitz operators

AU - Abakumov, Evgeny

AU - Baranov, Anton

AU - Charpentier, Stéphane

AU - Lishanskii, Andrei

N1 - Publisher Copyright: © 2021 Elsevier Masson SAS

PY - 2021/5/1

Y1 - 2021/5/1

N2 - We study hypercyclicity of Toeplitz operators in the Hardy space H2(D) with symbols of the form R(z‾)+φ(z), where R is a rational function and φ∈H∞(D). We relate this problem to cyclicity of certain families of functions for analytic Toeplitz operators and give new sufficient conditions for hypercyclicity based on deep results of B. Solomyak.

AB - We study hypercyclicity of Toeplitz operators in the Hardy space H2(D) with symbols of the form R(z‾)+φ(z), where R is a rational function and φ∈H∞(D). We relate this problem to cyclicity of certain families of functions for analytic Toeplitz operators and give new sufficient conditions for hypercyclicity based on deep results of B. Solomyak.

KW - Hypercyclic operator

KW - Toeplitz operator

KW - Univalent function

UR - http://www.scopus.com/inward/record.url?scp=85103083759&partnerID=8YFLogxK

U2 - 10.1016/j.bulsci.2021.102971

DO - 10.1016/j.bulsci.2021.102971

M3 - Article

AN - SCOPUS:85103083759

VL - 168

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

SN - 0007-4497

M1 - 102971

ER -

ID: 86295985