On the point spectrum of periodic Jacobi matrices with matrix entries: elementary approach

DOI10.1080/10236198.2015.1066341zbMath1362.47015OpenAlexW1828569585MaRDI QIDQ2796780

Jan Janas, Serguei Naboko

Publication date: 29 March 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1066341

zbMATH Keywords

spectral analysispoint spectrumperiodic sequencesblock Jacobi matrix

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Spectral properties of block Jacobi matrices ⋮ On the instability of the essential spectrum for block Jacobi matrices ⋮ The essential spectrum of some unbounded Jacobi matrices: a generalization of the Last-Simon approach

Cites Work

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• Orthogonal matrix polynomials satisfying second order difference equations
• Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
• Elementary models of unbounded Jacobi matrices with a few bounded gaps in the essential spectrum
• Criteria for the absence of eigenvalues of Jacobi matrices with matrix entries
• Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices

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