Lieb--Thirring bounds for complex Jacobi matrices

DOI10.1007/s11005-007-0189-4zbMath1136.47018arXiv0706.3716OpenAlexW2002727977MaRDI QIDQ2466414

Stanislav Kupin, Leonid B. Golinskii

Publication date: 14 January 2008

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3716

zbMATH Keywords

Lieb-Thirring inequalitiesFan-Mirski lemmaone- and multi-dimensional Jacobi matrices

Mathematics Subject Classification ID

Difference operators (39A70) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (14)

On the distribution of the discrete spectrum of nuclearly perturbed operators in Banach spaces ⋮ Lieb-Thirring inequalities for complex finite gap Jacobi matrices ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Jacobi matrices generated by ratios of hypergeometric functions ⋮ On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator ⋮ An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators ⋮ Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range ⋮ On a sum rule for Schrödinger operators with complex potentials ⋮ Inequalities for the eigenvalues of non-selfadjoint Jacobi operators ⋮ A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator ⋮ Counting eigenvalues of Schrödinger operators with fast decaying complex potentials ⋮ On Lieb-Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators ⋮ Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators ⋮ Lieb–Thirring estimates for non-self-adjoint Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• Lieb-Thirring inequalities for Jacobi matrices
• Discrete spectrum for complex perturbations of periodic Jacobi matrices
• On the location of the discrete spectrum for complex Jacobi matrices

This page was built for publication: Lieb--Thirring bounds for complex Jacobi matrices