Alternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.

DOI10.1007/BF01212702zbMath1048.47019MaRDI QIDQ1865933

Marcin Moszyński, Jan Janas

Publication date: 2002

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

zbMATH Keywords

Jacobi matricesselfadjointnessabsolute continuity

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (15)

Spectral properties of some Jacobi matrices with double weights. ⋮ Spectral properties of block Jacobi matrices ⋮ Criteria for the absence of point spectrum on the boundary of the numerical range of tridiagonal matrices ⋮ Spectra of some selfadjoint Jacobi operators in the double root case ⋮ On one condition of absolutely continuous spectrum for self-adjoint operators and its applications ⋮ Alternative approaches to asymptotic behaviour of eigenvalues of some unbounded Jacobi matrices ⋮ Spectral theory for a class of periodically perturbed unbounded Jacobi matrices: Elementary methods ⋮ Non-existence of subordinate solutions for Jacobi operators in some critical cases ⋮ A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux ⋮ Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. ⋮ Spectral properties of unbounded Jacobi matrices with almost monotonic weights ⋮ Spectral theory of certain unbounded Jacobi matrices ⋮ Asymptotics of large eigenvalues for some discrete unbounded Jacobi matrices ⋮ Mourre's theory for some unbounded Jacobi matrices ⋮ Spectral properties of Jacobi matrices by asymptotic analysis.

Cites Work

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• Tridiagonal matrix representations of cyclic self-adjoint operators
• Tridiagonal matrix representations of cyclic self-adjoint operators. II
• Spectral measures corresponding to orthogonal polynomials with unbounded recurrence coefficients
• Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients
• Jacobi matrices with power-like weights -- grouping in blocks approach
• Spectral theory for slowly oscillating potentials. I: Jacobi matrices
• Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• Orthogonal polynomials, spectral measures, and absolute continuity
• Spectral Measures, Orthogonal Polynomials, and Absolute Continuity
• Cyclic Operators, Commutators, and Absolutely Continuous Measures

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