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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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
id ftdatacite:10.48550/arxiv.2012.13793
record_format openpolar
spelling ftdatacite:10.48550/arxiv.2012.13793 2023-05-15T17:07:13+02:00 A remark on a paper by Hundertmark and Simon Laptev, Ari Loss, Michael Schimmer, Lukas 2020 https://dx.doi.org/10.48550/arxiv.2012.13793 https://arxiv.org/abs/2012.13793 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Classical Analysis and ODEs math.CA Mathematical Physics math-ph FOS Mathematics FOS Physical sciences Article CreativeWork article Preprint 2020 ftdatacite https://doi.org/10.48550/arxiv.2012.13793 2022-03-10T15:20:58Z 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 Article in Journal/Newspaper laptev DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Classical Analysis and ODEs math.CA
Mathematical Physics math-ph
FOS Mathematics
FOS Physical sciences
spellingShingle Classical Analysis and ODEs math.CA
Mathematical Physics math-ph
FOS Mathematics
FOS Physical sciences
Laptev, Ari
Loss, Michael
Schimmer, Lukas
A remark on a paper by Hundertmark and Simon
topic_facet Classical Analysis and ODEs math.CA
Mathematical Physics math-ph
FOS Mathematics
FOS Physical sciences
description 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
format Article in Journal/Newspaper
author Laptev, Ari
Loss, Michael
Schimmer, Lukas
author_facet Laptev, Ari
Loss, Michael
Schimmer, Lukas
author_sort Laptev, Ari
title A remark on a paper by Hundertmark and Simon
title_short A remark on a paper by Hundertmark and Simon
title_full A remark on a paper by Hundertmark and Simon
title_fullStr A remark on a paper by Hundertmark and Simon
title_full_unstemmed A remark on a paper by Hundertmark and Simon
title_sort remark on a paper by hundertmark and simon
publisher arXiv
publishDate 2020
url https://dx.doi.org/10.48550/arxiv.2012.13793
https://arxiv.org/abs/2012.13793
genre laptev
genre_facet laptev
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.2012.13793
_version_ 1766062513239097344

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