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Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators

Boegli, Sabine

Authors



Contributors

Malcolm Brown
Editor

Fritz Gesztesy
Editor

Pavel Kurasov
Editor

Ari Laptev
Editor

Barry Simon
Editor

Gunter Stolz
Editor

Ian Wood
Editor

Abstract

We improve the Lieb–Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009) for Schr¨odinger operators with complex-valued potentials. Our result involves a positive, integrable function. We show that in the one-dimensional case the result is sharp in the sense that if we take a non-integrable function, then an analogous inequality cannot hold. Wood, Ian

Citation

Boegli, S. (2023). Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators. In M. Brown, F. Gesztesy, P. Kurasov, A. Laptev, B. Simon, G. Stolz, & I. Wood (Eds.), From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko (151-161). (1). Birkhaeuser-Springer. https://doi.org/10.1007/978-3-031-31139-0_9

Acceptance Date Mar 24, 2022
Online Publication Date Sep 22, 2023
Publication Date 2023
Deposit Date Oct 27, 2022
Publicly Available Date Mar 29, 2024
Pages 151-161
Series Title Operator Theory: Advances and Applications
Series ISSN 0255-0156
Edition 1
Book Title From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko
ISBN 9783031311383
DOI https://doi.org/10.1007/978-3-031-31139-0_9
Public URL https://durham-repository.worktribe.com/output/1649032
Publisher URL https://link.springer.com/book/9783031311383
Related Public URLs https://arxiv.org/abs/2111.03938

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Accepted Book Chapter (283 Kb)
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Copyright Statement
This a post-peer-review, pre-copyedit version of a chapter published in From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko. The final authenticated version is available online at: https://doi.org/10.1007/978-3-031-31139-0_9




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