Volterra-type discrete integral equations and spectra of non-self-adjoint Jacobi operators

DOI10.1007/S00020-021-02679-9OpenAlexW3215568978MaRDI QIDQ824389

Leonid B. Golinskii

Publication date: 15 December 2021

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

Full work available at URL: https://arxiv.org/abs/2101.01974

zbMATH Keywords

discrete spectrumJost solutionsperturbation determinantnon-selfadjoint Jacobi matrices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Nonselfadjoint operators (47B28)

Related Items (3)

Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers ⋮ Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line ⋮ Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators

Cites Work

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• A Blaschke-type condition and its application to complex Jacobi matrices
• Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches
• On the location of the discrete spectrum for complex Jacobi matrices
• A Blaschke-type condition for analytic and subharmonic functions and application to contraction operators
• The Lieb–Thirring inequalities: Recent results and open problems

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