Self-adjoint and non-self-adjoint extensions of symmetric q-Sturm-Liouville operators e operators

Abstract

A space of boundary values is constructed for minimal symmetric regular and singular q-Sturm-Liouville operators in limit-point and limit-circle cases. A description of all maximal dissipative, maximal accumulative, self-adjoint, and other extensions of such symmetric q-Sturm-Liouville operators is given in terms of boundary conditions.