Dr Sabine Boegli sabine.boegli@durham.ac.uk
Associate Professor
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 |
Files
Accepted Book Chapter
(283 Kb)
PDF
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
You might also like
Counterexample to the Laptev-Safronov Conjecture
(2022)
Journal Article
On the eigenvalues of the Robin Laplacian with a complex parameter
(2022)
Journal Article
Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation
(2020)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search