Self-Adjoint Nonnegative Extensions of an Elliptic Operator of Second Order

Abstract

Our intention in this chapter is to show that the theorems on the exact conditions of uniform convergence and localization of spectral decompositions that have been established by us in Chapter 2 for an arbitrary self-adjoint nonnegative extension of the Laplace operator remain valid also for arbitrary self-adjoint nonnegative extensions of a general elliptic operator of second order L.