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Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices

Christiansen, Jacob S. LU and Zinchenko, Maxim (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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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Annales Henri Poincare
volume
18
issue
6
pages
1949 - 1976
publisher
Birkhauser Verlag Basel
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
2018-02-18 22:52:22
@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    = {Birkhauser Verlag Basel},
  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},
  volume       = {18},
  year         = {2017},
}