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On compact perturbations of the limit-periodic Jacobi operator. / Kalyagin, V. A.; Kononova, A. A.

в: Mathematical Notes, Том 86, № 5-6, 01.12.2009, стр. 789-800.

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

Harvard

Kalyagin, VA & Kononova, AA 2009, 'On compact perturbations of the limit-periodic Jacobi operator', Mathematical Notes, Том. 86, № 5-6, стр. 789-800. https://doi.org/10.1134/S0001434609110212

APA

Kalyagin, V. A., & Kononova, A. A. (2009). On compact perturbations of the limit-periodic Jacobi operator. Mathematical Notes, 86(5-6), 789-800. https://doi.org/10.1134/S0001434609110212

Vancouver

Kalyagin VA, Kononova AA. On compact perturbations of the limit-periodic Jacobi operator. Mathematical Notes. 2009 Дек. 1;86(5-6):789-800. https://doi.org/10.1134/S0001434609110212

Author

Kalyagin, V. A. ; Kononova, A. A. / On compact perturbations of the limit-periodic Jacobi operator. в: Mathematical Notes. 2009 ; Том 86, № 5-6. стр. 789-800.

BibTeX

@article{b8b2b8c6d91544e68d1167d1ca352c72,
title = "On compact perturbations of the limit-periodic Jacobi operator",
abstract = "We consider a bounded Jacobi operator acting in the space l2(ℕ). We supplement the spectral measure of this operator by a set of finitely many discrete masses (on the real axis outside the convex hull of the support of the operator's spectral measure). In the present paper, we study whether the obtained perturbation of the original operator is compact. For limit-periodic Jacobi operators, we obtain a necessary and sufficient condition on the location of the masses for the perturbation to be compact.",
keywords = "Compact perturbations, Discrete masses, Finite-zone operator, Harmonic function, Jacobi operator, Spectral measure, The space ℓ(ℕ)",
author = "Kalyagin, {V. A.} and Kononova, {A. A.}",
year = "2009",
month = dec,
day = "1",
doi = "10.1134/S0001434609110212",
language = "English",
volume = "86",
pages = "789--800",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "5-6",

}

RIS

TY - JOUR

T1 - On compact perturbations of the limit-periodic Jacobi operator

AU - Kalyagin, V. A.

AU - Kononova, A. A.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - We consider a bounded Jacobi operator acting in the space l2(ℕ). We supplement the spectral measure of this operator by a set of finitely many discrete masses (on the real axis outside the convex hull of the support of the operator's spectral measure). In the present paper, we study whether the obtained perturbation of the original operator is compact. For limit-periodic Jacobi operators, we obtain a necessary and sufficient condition on the location of the masses for the perturbation to be compact.

AB - We consider a bounded Jacobi operator acting in the space l2(ℕ). We supplement the spectral measure of this operator by a set of finitely many discrete masses (on the real axis outside the convex hull of the support of the operator's spectral measure). In the present paper, we study whether the obtained perturbation of the original operator is compact. For limit-periodic Jacobi operators, we obtain a necessary and sufficient condition on the location of the masses for the perturbation to be compact.

KW - Compact perturbations

KW - Discrete masses

KW - Finite-zone operator

KW - Harmonic function

KW - Jacobi operator

KW - Spectral measure

KW - The space ℓ(ℕ)

UR - http://www.scopus.com/inward/record.url?scp=73949105874&partnerID=8YFLogxK

U2 - 10.1134/S0001434609110212

DO - 10.1134/S0001434609110212

M3 - Article

AN - SCOPUS:73949105874

VL - 86

SP - 789

EP - 800

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 5-6

ER -

ID: 35916889