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Green Matrix Estimates of Block Jacobi Matrices I : Unbounded Gap in the Essential Spectrum. / Janas, Jan; Naboko, Sergey; Silva, Luis O.

In: Integral Equations and Operator Theory, Vol. 90, No. 4, 49, 01.08.2018.

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

Harvard

Janas, J, Naboko, S & Silva, LO 2018, 'Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum', Integral Equations and Operator Theory, vol. 90, no. 4, 49. https://doi.org/10.1007/s00020-018-2476-0

APA

Janas, J., Naboko, S., & Silva, L. O. (2018). Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum. Integral Equations and Operator Theory, 90(4), [49]. https://doi.org/10.1007/s00020-018-2476-0

Vancouver

Janas J, Naboko S, Silva LO. Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum. Integral Equations and Operator Theory. 2018 Aug 1;90(4). 49. https://doi.org/10.1007/s00020-018-2476-0

Author

Janas, Jan ; Naboko, Sergey ; Silva, Luis O. / Green Matrix Estimates of Block Jacobi Matrices I : Unbounded Gap in the Essential Spectrum. In: Integral Equations and Operator Theory. 2018 ; Vol. 90, No. 4.

BibTeX

@article{0d2f250424904083b110dab9d4e67c35,
title = "Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum",
abstract = "This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of the operator{\textquoteright}s essential spectrum. We consider the cases of commutative and noncommutative matrix entries separately. An example of a block Jacobi operator with noncommutative entries and nonnegative essential spectrum is given to illustrate the results.",
keywords = "Block Jacobi operators, Decay bounds, Generalized eigenvectors, LOCALIZATION, SCHRODINGER-OPERATORS, ASYMPTOTIC-BEHAVIOR",
author = "Jan Janas and Sergey Naboko and Silva, {Luis O.}",
note = "Janas, J., Naboko, S. & Silva, L.O. Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum. Integr. Equ. Oper. Theory 90, 49 (2018). https://doi.org/10.1007/s00020-018-2476-0",
year = "2018",
month = aug,
day = "1",
doi = "10.1007/s00020-018-2476-0",
language = "English",
volume = "90",
journal = "Integral Equations and Operator Theory",
issn = "0378-620X",
publisher = "Birkh{\"a}user Verlag AG",
number = "4",

}

RIS

TY - JOUR

T1 - Green Matrix Estimates of Block Jacobi Matrices I

T2 - Unbounded Gap in the Essential Spectrum

AU - Janas, Jan

AU - Naboko, Sergey

AU - Silva, Luis O.

N1 - Janas, J., Naboko, S. & Silva, L.O. Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum. Integr. Equ. Oper. Theory 90, 49 (2018). https://doi.org/10.1007/s00020-018-2476-0

PY - 2018/8/1

Y1 - 2018/8/1

N2 - This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of the operator’s essential spectrum. We consider the cases of commutative and noncommutative matrix entries separately. An example of a block Jacobi operator with noncommutative entries and nonnegative essential spectrum is given to illustrate the results.

AB - This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of the operator’s essential spectrum. We consider the cases of commutative and noncommutative matrix entries separately. An example of a block Jacobi operator with noncommutative entries and nonnegative essential spectrum is given to illustrate the results.

KW - Block Jacobi operators

KW - Decay bounds

KW - Generalized eigenvectors

KW - LOCALIZATION

KW - SCHRODINGER-OPERATORS

KW - ASYMPTOTIC-BEHAVIOR

UR - http://www.scopus.com/inward/record.url?scp=85049535212&partnerID=8YFLogxK

U2 - 10.1007/s00020-018-2476-0

DO - 10.1007/s00020-018-2476-0

M3 - Article

AN - SCOPUS:85049535212

VL - 90

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

SN - 0378-620X

IS - 4

M1 - 49

ER -

ID: 36461862