A remark on a paper by Hundertmark and Simon

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. : LaTeX...

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Bibliographic Details
Main Authors: Laptev, Ari, Loss, Michael, Schimmer, Lukas
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2020
Subjects:
Classical Analysis and ODEs math.CA
Mathematical Physics math-ph
FOS Mathematics
FOS Physical sciences
laptev
Online Access:https://dx.doi.org/10.48550/arxiv.2012.13793
https://arxiv.org/abs/2012.13793
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Summary: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. : LaTeX 9 pages

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