The essential spectrum of some unbounded Jacobi matrices: a generalization of the Last-Simon approach

DOI10.1016/J.JAT.2017.12.002zbMath1481.47042OpenAlexW2778377223MaRDI QIDQ1697440

Jan Janas, Serguei Naboko, Anne Boutet de Monvel-Berthier

Publication date: 20 February 2018

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2017.12.002

zbMATH Keywords

essential spectrumJacobi matrixlimit matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von Neumann approach
• Spectral theory for a class of periodically perturbed unbounded Jacobi matrices: Elementary methods
• Spectral gaps resulting from periodic perturbations of a class of Jacobi operators
• Jacobi matrices with power-like weights -- grouping in blocks approach
• Limit operators and their applications in operator theory
• The essential spectrum of Schrödinger, Jacobi, and CMV operators
• On the point spectrum of periodic Jacobi matrices with matrix entries: elementary approach
• Elementary models of unbounded Jacobi matrices with a few bounded gaps in the essential spectrum
• Limit operators, collective compactness, and the spectral theory of infinite matrices

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