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

  • 18 March 2022
  • 14:00-15:00
  • WAV.B.01

Title: Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators - Sabine B枚gli (Durham)

Abstract: In this talk we study the eigenvalues of Schroedinger operators with complex-valued potentials. We improve the Lieb-Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009). 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.

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