Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

When is the spectrum of a convolution operator on Lp independent of p?

Bruce A. Barnesa1

a1 Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.

Abstract

In this paper conditions are given that imply that a convolution operator has the same spectrum on all of the spaces Lp(G), 1≦p≦∞.

(Received June 14 1989)