Geometry and spectra of closed extensions of elliptic cone operators

Abstract

We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.

48 pages, revisited version to appear in Canadian Journal of Mathematics

Cited by in corpus (1)

• Bounded ${\mathbf{H}}_{\infty }$-Calculus for Differential Operators on Conic Manifolds with Boundary