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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
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
epub
subject
in
Annales Henri Poincare
pages
28 pages
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
2018-01-07 11:49:58
@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},
  month        = {01},
  pages        = {28},
  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},
  year         = {2017},
}