Stability of direct and inverse eigenvalue problems: the case of complex potentials

We consider the inverse eigenvalue problem for Schrodinger operators on finite intervals. The potential is allowed to be complex. In Horvath and Kiss (2009 Stability of direct and inverse eigenvalue problems for Schrodinger operators on finite intervals Int. Math. Res. Not. 2010 2022-63) we obtained estimates between the L(p)-norm of the perturbation of the potential and the l(p)'-norm of the perturbation of the eigenvalues. In this paper, we extend these results for complex-valued potentials.