Title: Lieb--Thirring and Jensen sums for NSA Schrodinger operators on the half-line and Jacobi operators.
  

Abstract: The problem in question came from the spectral theory of non-self-adjoint operators. We study the quantitative structure of the discrete spectrum for NSA Schrodinger operators on the half-line with the Dirichlet boundary condition. We prove upper and lower bounds for sums of eigenvalues of Lieb—Thirring type for such operators as well as for semi-infinite Jacobi operators. The upper bounds are established for general classes of complex, integrable potentials and are shown to be optimal in various senses by proving the lower bounds for specific potentials.

Based on a joint paper with A. Stepanenko (Cardiff).