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.


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)