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

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.


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
Publisher Web site:
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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