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The essential spectrum of some unbounded Jacobi matrices : A generalization of the Last–Simon approach. / Boutet de Monvel, Anne; Janas, Jan; Naboko, Serguei.

в: Journal of Approximation Theory, Том 227, 01.03.2018, стр. 51-69.

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

Harvard

Boutet de Monvel, A, Janas, J & Naboko, S 2018, 'The essential spectrum of some unbounded Jacobi matrices: A generalization of the Last–Simon approach', Journal of Approximation Theory, Том. 227, стр. 51-69. https://doi.org/10.1016/j.jat.2017.12.002

APA

Boutet de Monvel, A., Janas, J., & Naboko, S. (2018). The essential spectrum of some unbounded Jacobi matrices: A generalization of the Last–Simon approach. Journal of Approximation Theory, 227, 51-69. https://doi.org/10.1016/j.jat.2017.12.002

Vancouver

Boutet de Monvel A, Janas J, Naboko S. The essential spectrum of some unbounded Jacobi matrices: A generalization of the Last–Simon approach. Journal of Approximation Theory. 2018 Март 1;227:51-69. https://doi.org/10.1016/j.jat.2017.12.002

Author

Boutet de Monvel, Anne ; Janas, Jan ; Naboko, Serguei. / The essential spectrum of some unbounded Jacobi matrices : A generalization of the Last–Simon approach. в: Journal of Approximation Theory. 2018 ; Том 227. стр. 51-69.

BibTeX

@article{dfbb9947856142d3941fc3bc7e1aa10f,
title = "The essential spectrum of some unbounded Jacobi matrices: A generalization of the Last–Simon approach",
abstract = "We consider some unbounded Jacobi matrices J with zero main diagonal and off diagonal entries defined by two different rules and calculate their essential spectrum by extending Last and Simon's ideas from the bounded to the unbounded case. We show that the essential spectrum of J is the union of the spectra of three limit matrices Jz, Jzc, and Jcz. Finally, we give a description of each of these spectra.",
keywords = "Essential spectrum, Jacobi matrix, Limit matrix, GAPS, OPERATORS",
author = "{Boutet de Monvel}, Anne and Jan Janas and Serguei Naboko",
year = "2018",
month = mar,
day = "1",
doi = "10.1016/j.jat.2017.12.002",
language = "English",
volume = "227",
pages = "51--69",
journal = "Journal of Approximation Theory",
issn = "0021-9045",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - The essential spectrum of some unbounded Jacobi matrices

T2 - A generalization of the Last–Simon approach

AU - Boutet de Monvel, Anne

AU - Janas, Jan

AU - Naboko, Serguei

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We consider some unbounded Jacobi matrices J with zero main diagonal and off diagonal entries defined by two different rules and calculate their essential spectrum by extending Last and Simon's ideas from the bounded to the unbounded case. We show that the essential spectrum of J is the union of the spectra of three limit matrices Jz, Jzc, and Jcz. Finally, we give a description of each of these spectra.

AB - We consider some unbounded Jacobi matrices J with zero main diagonal and off diagonal entries defined by two different rules and calculate their essential spectrum by extending Last and Simon's ideas from the bounded to the unbounded case. We show that the essential spectrum of J is the union of the spectra of three limit matrices Jz, Jzc, and Jcz. Finally, we give a description of each of these spectra.

KW - Essential spectrum

KW - Jacobi matrix

KW - Limit matrix

KW - GAPS

KW - OPERATORS

UR - http://www.scopus.com/inward/record.url?scp=85044382475&partnerID=8YFLogxK

U2 - 10.1016/j.jat.2017.12.002

DO - 10.1016/j.jat.2017.12.002

M3 - Article

AN - SCOPUS:85044382475

VL - 227

SP - 51

EP - 69

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

ER -

ID: 36462016