Boegli, Sabine (2022) 'Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators.', in From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko. . Operator Theory: Advances and Applications.
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.
| Item Type: | Book chapter |
|---|---|
| Full text: | Publisher-imposed embargo (AM) Accepted Manuscript File format - PDF (277Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://www.springer.com/series/4850 |
| Date accepted: | 24 March 2022 |
| Date deposited: | 28 October 2022 |
| Date of first online publication: | No date available |
| Date first made open access: | No date available |
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