Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices

Jacob S. Christiansen, Maxim Zinchenko

Research output: Contribution to journalArticlepeer-review

1 Citation (SciVal)


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.

Original languageEnglish
Pages (from-to)1949-1976
JournalAnnales Henri Poincare
Issue number6
Early online date2017 Jan 18
Publication statusPublished - 2017 Jun

Subject classification (UKÄ)

  • Mathematics


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