Relative oscillation theory and essential spectra of Sturm-Liouville operators

Gerald Teschl (U of Vienna)

Nov 07. 2022, 11:30 — 12:00

We will discuss relative oscillation theory for general Sturm-Liouville differential expressions and prove perturbation results and invariance of essential spectra in terms of the real coefficients pqr. The novelty here is that we also allow perturbations of the weight function r in which case the unperturbed and the perturbed operator act in different Hilbert spaces. This is based on joint work with Jussi Behrndt, Philipp Schmitz, and Carsten Trunk.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory of Differential Operators in Quantum Theory (Workshop)
Jussi Behrndt (TU Graz)
Fritz Gesztesy (Baylor U, Waco)
Ari Laptev (Imperial College London)
Christiane Tretter (U Bern)