A remark on a paper by Hundertmark and Simon
Classical Analysis and ODEs
2021-05-18 v2 Mathematical Physics
math.MP
Abstract
We prove a sharp Lieb-Thirring type inequality for Jacobi matrices, thereby settling a conjecture of Hundertmark and Simon. An interesting feature of the proof is that it employs a technique originally used by Hundertmark-Laptev-Weidl concerning sums of singular values for compact operators.
Keywords
Cite
@article{arxiv.2012.13793,
title = {A remark on a paper by Hundertmark and Simon},
author = {Ari Laptev and Michael Loss and Lukas Schimmer},
journal= {arXiv preprint arXiv:2012.13793},
year = {2021}
}
Comments
LaTeX 9 pages