On Lp spectral independence
Elst, ter, A.F.M., H Prado · TU/e Research Portal · 2000
If n is an open subset of R d then we prove the p-indepenclence of the spectrum for a consistent family of bounded operators on Lp(n) if they have a kernel J{ satisfying IJ{ (x ; y)Extensions of this theorem are given for abstract measure spaces and for Lie groups with polynomial growth.As a result, many elliptic operators on a Lie group with polynomia.lgrowth and on a. Riemannian manifold with uniform subexponentially volume growth have a p-independent spectrum.