3 papers
math.SP2026
On the discrete spectrum of non-selfadjoint operators with applications to Schrödinger operators with complex potentials
Sabine Bögli, Sukrid Petpradittha
For relatively form-compact perturbations of non-negative selfadjoint operators, we obtain an upper bound on the number of discrete eigenvalues in half-planes separated from the po…
math.SP2025
Optimal Lieb-Thirring type inequalities for Schrödinger and Jacobi operators with complex potentials
Sabine Bögli, Sukrid Petpradittha
We prove optimal Lieb-Thirring type inequalities for Schrödinger and Jacobi operators with complex potentials. Our results bound eigenvalue power sums (Riesz means) by the n…
math.SP2025
On Lieb-Thirring inequalities for multidimensional Schrödinger operators with complex potentials
Sabine Bögli, Sukrid Petpradittha, František Štampach
We solve the open problem by Demuth, Hansmann, and Katriel announced in [Integr. Equ. Oper. Theory 75 (2013), 1-5] by a counter-example construction. The problem concerns a possibl…