Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
(2017) In Annales Henri Poincare 18(6). p.1949-1976- 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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https://lup.lub.lu.se/record/a81fa615-16ff-4db6-ab8a-2a81103284f0
- author
- Christiansen, Jacob S. LU and Zinchenko, Maxim
- organization
- publishing date
- 2017-06
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Annales Henri Poincare
- volume
- 18
- issue
- 6
- pages
- 1949 - 1976
- publisher
- Birkhäuser
- external identifiers
-
- scopus:85009801430
- wos:000401325900003
- ISSN
- 1424-0637
- DOI
- 10.1007/s00023-016-0546-x
- language
- English
- LU publication?
- yes
- id
- a81fa615-16ff-4db6-ab8a-2a81103284f0
- date added to LUP
- 2017-02-15 09:27:30
- date last changed
- 2024-05-12 07:38:05
@article{a81fa615-16ff-4db6-ab8a-2a81103284f0, abstract = {{<p>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.</p>}}, author = {{Christiansen, Jacob S. and Zinchenko, Maxim}}, issn = {{1424-0637}}, language = {{eng}}, number = {{6}}, pages = {{1949--1976}}, publisher = {{Birkhäuser}}, series = {{Annales Henri Poincare}}, title = {{Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices}}, url = {{http://dx.doi.org/10.1007/s00023-016-0546-x}}, doi = {{10.1007/s00023-016-0546-x}}, volume = {{18}}, year = {{2017}}, }