Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices

Published 30 Sep 2016 in math.SP, math-ph, and math.MP | (1609.09566v2)

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.

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