Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
Spectral Theory
2017-09-25 v2 Mathematical Physics
math.MP
Abstract
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class perturbations under very general assumptions. Our results apply, in particular, to perturbations of reflectionless Jacobi operators with finite gap and Cantor-type essential spectrum.
Keywords
Cite
@article{arxiv.1609.09566,
title = {Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices},
author = {Jacob S. Christiansen and Maxim Zinchenko},
journal= {arXiv preprint arXiv:1609.09566},
year = {2017}
}