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Dilations, models and spectral problems of non-self-adjoint Sturm-Liouville operators

Dilations, models and spectral problems of non-self-adjoint Sturm-Liouville operators

In this study, we investigate the maximal dissipative singular Sturm-Liouville operators acting in the Hilbert space, that the extensions of a minimal symmetric operator with defect index (2, 2) (in limit-circle case at singular end points a and b).We examine two classes of dissipative operators with separated boundary conditions and …