Spectral enclosures for non-self-adjoint discrete Schrödinger operators

DOI10.1007/s00020-019-2553-zzbMath1439.39012arXiv1903.08620OpenAlexW2985229497MaRDI QIDQ2284355

Orif O. Ibrogimov, František Štampach

Publication date: 14 January 2020

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

Full work available at URL: https://arxiv.org/abs/1903.08620

zbMATH Keywords

point spectrumdiscrete Schrödinger operatorJacobi matrixBirman-Schwinger principleSchur testdiscrete Young inequality

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (8)

Volterra-type discrete integral equations and spectra of non-self-adjoint Jacobi operators ⋮ Bounds on eigenvalues of perturbed Lamé operators with complex potentials ⋮ Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line ⋮ The abstract Birman-Schwinger principle and spectral stability ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Location of eigenvalues of non-self-adjoint discrete Dirac operators ⋮ Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators

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