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Lieb–Thirring inequalities for complex finite gap Jacobi matrices

Christiansen, Jacob S. LU and Zinchenko, Maxim (2017) In Letters in Mathematical Physics 107(9). p.1769-1780
Abstract

We establish Lieb–Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap almost periodic Jacobi matrices.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Complex perturbations, Eigenvalues estimates, Finite gap Jacobi matrices
in
Letters in Mathematical Physics
volume
107
issue
9
pages
1769 - 1780
publisher
Springer
external identifiers
  • wos:000408007900008
  • scopus:85019551756
ISSN
0377-9017
DOI
10.1007/s11005-017-0961-z
language
English
LU publication?
yes
id
ffe60301-c4de-49bc-81c9-0ad0b94b8a4a
date added to LUP
2017-06-13 08:37:40
date last changed
2024-02-29 16:33:38
@article{ffe60301-c4de-49bc-81c9-0ad0b94b8a4a,
  abstract     = {{<p>We establish Lieb–Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap almost periodic Jacobi matrices.</p>}},
  author       = {{Christiansen, Jacob S. and Zinchenko, Maxim}},
  issn         = {{0377-9017}},
  keywords     = {{Complex perturbations; Eigenvalues estimates; Finite gap Jacobi matrices}},
  language     = {{eng}},
  number       = {{9}},
  pages        = {{1769--1780}},
  publisher    = {{Springer}},
  series       = {{Letters in Mathematical Physics}},
  title        = {{Lieb–Thirring inequalities for complex finite gap Jacobi matrices}},
  url          = {{http://dx.doi.org/10.1007/s11005-017-0961-z}},
  doi          = {{10.1007/s11005-017-0961-z}},
  volume       = {{107}},
  year         = {{2017}},
}