Multipliers of type (p, p) and multipliers of the group L_p-algebras

Kelly Denis McKennon

Vol. 45 (1973), No. 1, 297–302

DOI: 10.2140/pjm.1973.45.297

Abstract

Let G be a locally compact group with left Haar measure λ and suppose 1 ≦ p < ∞. The purpose of this paper is to exhibit an isometric isomorphism ω of the Banach algebra M_p of all right multipliers on L_p = L_p(G,λ) into the normed algebra m_p of all right multipliers on the group L_p-algebra L_p^t. When G is either commutative or compact, ω is surjective.

Mathematical Subject Classification 2000

Primary: 43A22

Milestones

Received: 15 November 1971

Published: 1 March 1973