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On the Instability of the Essential Spectrum for Block Jacobi Matrices. / Kupin, S.; Naboko, S.

In: Constructive Approximation, Vol. 48, No. 3, 01.12.2018, p. 473-500.

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

Harvard

Kupin, S & Naboko, S 2018, 'On the Instability of the Essential Spectrum for Block Jacobi Matrices', Constructive Approximation, vol. 48, no. 3, pp. 473-500. https://doi.org/10.1007/s00365-018-9436-4

APA

Kupin, S., & Naboko, S. (2018). On the Instability of the Essential Spectrum for Block Jacobi Matrices. Constructive Approximation, 48(3), 473-500. https://doi.org/10.1007/s00365-018-9436-4

Vancouver

Kupin S, Naboko S. On the Instability of the Essential Spectrum for Block Jacobi Matrices. Constructive Approximation. 2018 Dec 1;48(3):473-500. https://doi.org/10.1007/s00365-018-9436-4

Author

Kupin, S. ; Naboko, S. / On the Instability of the Essential Spectrum for Block Jacobi Matrices. In: Constructive Approximation. 2018 ; Vol. 48, No. 3. pp. 473-500.

BibTeX

@article{02261d4f9f054e01a7b358c067ec3304,
title = "On the Instability of the Essential Spectrum for Block Jacobi Matrices",
abstract = "We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.",
keywords = "Gilbert–Pearson subordinacy theory, Instability of the essential spectrum, Levinson{\textquoteright}s asymptotic theory, Unbounded (block) Jacobi matrices",
author = "S. Kupin and S. Naboko",
year = "2018",
month = dec,
day = "1",
doi = "10.1007/s00365-018-9436-4",
language = "English",
volume = "48",
pages = "473--500",
journal = "Constructive Approximation",
issn = "0176-4276",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On the Instability of the Essential Spectrum for Block Jacobi Matrices

AU - Kupin, S.

AU - Naboko, S.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.

AB - We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.

KW - Gilbert–Pearson subordinacy theory

KW - Instability of the essential spectrum

KW - Levinson’s asymptotic theory

KW - Unbounded (block) Jacobi matrices

UR - http://www.scopus.com/inward/record.url?scp=85048092892&partnerID=8YFLogxK

U2 - 10.1007/s00365-018-9436-4

DO - 10.1007/s00365-018-9436-4

M3 - Article

AN - SCOPUS:85048092892

VL - 48

SP - 473

EP - 500

JO - Constructive Approximation

JF - Constructive Approximation

SN - 0176-4276

IS - 3

ER -

ID: 36462251