Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples

DOI10.1007/s00020-010-1856-xzbMath1231.47027OpenAlexW2082602905MaRDI QIDQ628698

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

Publication date: 14 March 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1856-x

zbMATH Keywords

asymptoticsessential spectrumgapsJacobi matrix

Mathematics Subject Classification ID

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

Related Items (7)

About essential spectra of unbounded Jacobi matrices ⋮ Non-existence of subordinate solutions for Jacobi operators in some critical cases ⋮ Periodic perturbations of unbounded Jacobi matrices. II: Formulas for density. ⋮ ESTIMATES OF GENERALIZED EIGENVECTORS OF HERMITIAN JACOBI MATRICES WITH A GAP IN THE ESSENTIAL SPECTRUM ⋮ Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I ⋮ Spectral properties of some complex Jacobi matrices

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