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Существование гиперциклических подпространств у операторов Тёплица. / Lishanskii, Andrei Alexandrovich.

в: Ufa Mathematical Journal, Том 7, № 2, 01.01.2015, стр. 102-105.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Lishanskii, AA 2015, 'Существование гиперциклических подпространств у операторов Тёплица', Ufa Mathematical Journal, Том. 7, № 2, стр. 102-105. https://doi.org/10.13108/2015-7-2-102

APA

Lishanskii, A. A. (2015). Существование гиперциклических подпространств у операторов Тёплица. Ufa Mathematical Journal, 7(2), 102-105. https://doi.org/10.13108/2015-7-2-102

Vancouver

Lishanskii AA. Существование гиперциклических подпространств у операторов Тёплица. Ufa Mathematical Journal. 2015 Янв. 1;7(2):102-105. https://doi.org/10.13108/2015-7-2-102

Author

Lishanskii, Andrei Alexandrovich. / Существование гиперциклических подпространств у операторов Тёплица. в: Ufa Mathematical Journal. 2015 ; Том 7, № 2. стр. 102-105.

BibTeX

@article{10c63abfb2374bb18d6827b6865c0787,
title = "Существование гиперциклических подпространств у операторов Тёплица",
abstract = "In this work we construct a class of coanalytic Toeplitz operators, which have an infinitedimensional closed subspace, where any non-zero vector is hypercyclic. Namely, if for a function ϕ which is analytic in the open unit disc D and continuous in its closure the conditions ϕ(T)∩T ≠ ∅ and ϕ(D)∩T ≠ 0 are satisfied, then the operator ϕ(S*) (where S* is the backward shift operator in the Hardy space) has the required property. The proof is based on an application of a theorem by Gonzalez, Leon-Saavedra and Montes-Rodriguez.",
keywords = "Essential spectrum, Hardy space, Hypercyclic operators, Toeplitz operators",
author = "Lishanskii, {Andrei Alexandrovich}",
year = "2015",
month = jan,
day = "1",
doi = "10.13108/2015-7-2-102",
language = "русский",
volume = "7",
pages = "102--105",
journal = "Ufa Mathematical Journal",
issn = "2304-0122",
publisher = "Institute of Mathematics with Computer Center of Russian Academy of Sciences",
number = "2",

}

RIS

TY - JOUR

T1 - Существование гиперциклических подпространств у операторов Тёплица

AU - Lishanskii, Andrei Alexandrovich

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this work we construct a class of coanalytic Toeplitz operators, which have an infinitedimensional closed subspace, where any non-zero vector is hypercyclic. Namely, if for a function ϕ which is analytic in the open unit disc D and continuous in its closure the conditions ϕ(T)∩T ≠ ∅ and ϕ(D)∩T ≠ 0 are satisfied, then the operator ϕ(S*) (where S* is the backward shift operator in the Hardy space) has the required property. The proof is based on an application of a theorem by Gonzalez, Leon-Saavedra and Montes-Rodriguez.

AB - In this work we construct a class of coanalytic Toeplitz operators, which have an infinitedimensional closed subspace, where any non-zero vector is hypercyclic. Namely, if for a function ϕ which is analytic in the open unit disc D and continuous in its closure the conditions ϕ(T)∩T ≠ ∅ and ϕ(D)∩T ≠ 0 are satisfied, then the operator ϕ(S*) (where S* is the backward shift operator in the Hardy space) has the required property. The proof is based on an application of a theorem by Gonzalez, Leon-Saavedra and Montes-Rodriguez.

KW - Essential spectrum

KW - Hardy space

KW - Hypercyclic operators

KW - Toeplitz operators

UR - http://www.scopus.com/inward/record.url?scp=84937896568&partnerID=8YFLogxK

U2 - 10.13108/2015-7-2-102

DO - 10.13108/2015-7-2-102

M3 - статья

AN - SCOPUS:84937896568

VL - 7

SP - 102

EP - 105

JO - Ufa Mathematical Journal

JF - Ufa Mathematical Journal

SN - 2304-0122

IS - 2

ER -

ID: 35962540