Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples
From MaRDI portal
Publication:628698
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral theory for a class of periodically perturbed unbounded Jacobi matrices: Elementary methods
- Alternative approaches to asymptotic behaviour of eigenvalues of some unbounded Jacobi matrices
- Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
- Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
- Jacobi matrices with power-like weights -- grouping in blocks approach
- Absolute continuity for unbounded Jacobi matrices with constant row sums
- Spectral analysis of selfadjoint Jacobi matrices with periodically modulated entries
- Spectral properties of Jacobi matrices by asymptotic analysis.
- Spectral properties of some Jacobi matrices with double weights.
- Finite gap Jacobi matrices. I: The isospectral torus
- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices
- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights
- Decay Bounds on Eigenfunctions and the Singular Spectrum of Unbounded Jacobi Matrices
- Absolutely continuous Jacobi operators
- Spectral transition parameters for a class of Jacobi matrices
- Infinite Jacobi Matrices with Unbounded Entries: Asymptotics of Eigenvalues and the Transformation Operator Approach
This page was built for publication: Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples
