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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 no…
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…
math.SP2014★ 21 cited
Remarks on the convergence of pseudospectra
Sabine Bögli, Petr Siegl
We establish the convergence of pseudospectra in Hausdorff distance for closed operators acting in different Hilbert spaces and converging in the generalised norm resolvent sense.…