A spectral analysis for self-adjoint operators generated by a class of second order difference equations

From MaRDI portal
Publication:1916714

DOI10.1006/jmaa.1996.0020zbMath0857.39008OpenAlexW1970328235MaRDI QIDQ1916714

Stephen L. Clark

Publication date: 18 February 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0020




Related Items

Spectral properties of block Jacobi matricesJump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous caseAbsolutely continuous Jacobi operatorsDependence of eigenvalues of certain closely discrete Sturm-Liouville problemsPeriodic perturbations of unbounded Jacobi matrices III: the soft edge regimeContinuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problemOn one condition of absolutely continuous spectrum for self-adjoint operators and its applicationsThe positive and negative deficiency indices of formally self-adjoint difference equationsStrong limit point criteria for a class of singular discrete linear Hamiltonian systemsDissipative Second-Order Difference Operators with General Boundary ConditionsThe Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systemsDeficiency indices of the polynomials of formally self-adjoint difference expressionsExtensions of symmetric infinite Jacobi operatorSpectral properties of singular discrete linear Hamiltonian systemsWeyl disks and square summable solutions for discrete symplectic systems with jointly varying endpointsRegular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpointSelf-adjoint extensions for second-order symmetric linear difference equationsLimit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficientsOrthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. IIRegular approximations of spectra of singular second-order symmetric linear difference equationsDefect indices of singular symmetric linear difference equations with complex coefficientsError estimate of eigenvalues of perturbed higher-order discrete vector boundary value problemsPeriodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors.Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbationDeficiency indices and spectrum of fourth order difference equations with unbounded coefficientsThe defect index of singular symmetric linear difference equations with real coefficientsSpectral analysis of \(q\)-Sturm-Liouville problem with the spectral parameter in the boundary conditionSpectral properties of unbounded Jacobi matrices with almost monotonic weightsThe limit circle and limit point criteria for second-order linear difference equationsWeyl--Titchmarsh theory for a class of discrete linear Hamiltonian systemsEssential spectrum of singular discrete linear Hamiltonian systemsExtensions, Dilations and Functional Models of Infinite Jacobi MatrixDefect index of the square of a formally self-adjoint second-order difference expressionError estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problemsInvariance of deficiency indices of second-order symmetric linear difference equations under perturbationsMourre's theory for some unbounded Jacobi matricesSturm-Liouville problem via coulomb type in difference equationsAbsolute continuity for unbounded Jacobi matrices with constant row sumsAlternative approaches to the absolute continuity of Jacobi matrices with monotonic weights.