Ivica Nakić: Perturbation of spectral edges and eigenvalues in spectral gaps of selfadjoint operators

Abstract: I will present a perturbation and lifting estimates for edges of the essential spectrum of a self-adjoint operator under a semi-definite perturbation, with analogous estimates for eigenvalues, possibly in gaps of the essential spectrum. I will also show how these estimates can be used to obtain lower and upper Lipschitz bounds on the function parametrizing locally a chosen edge of the essential spectrum of a Schrödinger operator in dependence of a coupling constant.

Vljudno vabljeni.

Roman Drnovšek in Primož Moravec