Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators

Explore relative oscillation theory for general Sturm-Liouville differential expressions in this 36-minute conference talk from the Workshop on "Spectral Theory of Differential Operators in Quantum Theory" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into perturbation results and invariance of essential spectra in terms of real coefficients p, q, and r. Discover the novel approach of allowing perturbations of the weight function r, where unperturbed and perturbed operators act in different Hilbert spaces. Learn about the joint work of Gerald Teschl, Jussi Behrndt, Philipp Schmitz, and Carsten Trunk in this advanced mathematical exploration of Sturm-Liouville operators and their spectral properties.