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

Boegli, Sabine

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

• Online Publication Date: Sep 22, 2023
• Publication Date: 2023
• Deposit Date: Oct 27, 2022
• Publicly Available Date: Sep 23, 2025
• 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
• Contract Date: Mar 24, 2022