Seifert, ChristianChristianSeifert2021-12-072021-12-072016-11-21Mathematical Physics Analysis and Geometry 19 (4): 25 (2016)http://hdl.handle.net/11420/11146We consider Sturm-Liouville operators with measure-valued weight and potential, and positive, bounded diffusion coefficient which is bounded away from zero. By means of a local periodicity condition, which can be seen as a quantitative Gordon condition, we prove a bound on eigenvalues for the corresponding operator in Lp, for 1 ≤ p< ∞. We also explain the sharpness of our quantitative bound, and provide an example for quasiperiodic operators.en1572-965620164Springer Science + Business Media B.V.Eigenvalue problemJacobi operatorsQuasiperiodic operatorsSturm-Liouville operatorsTransfer matricesMathematikJournal Article10.1007/s11040-016-9230-0Other