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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Communicated by Jan Dereziński.
JSC is supported in part by the Research Project Grant DFF–4181-00502 from the Danish Council for Independent Research.
MZ is supported in part by Simons Foundation Grant CGM-281971.
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Christiansen, J.S., Zinchenko, M. Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices. Ann. Henri Poincaré 18, 1949–1976 (2017). https://doi.org/10.1007/s00023-016-0546-x
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DOI: https://doi.org/10.1007/s00023-016-0546-x