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THE RADON-NIKODYM PROPERTY FOR SOME BANACH ALGEBRAS RELATED TO THE FOURIER ALGEBRA

By Edmond E. Granirer and Communicated Michael T. Lacey

Abstract

Abstract. The Radon-Nikodym property for the Banach algebras A r p(G) = Ap ∩ L r (G), where A2(G) is the Fourier algebra, is investigated. A complete solution is given for amenable groups G if 1 <p< ∞ and for arbitrary G if p =2andA2(G) has a multiplier bounded approximate identity. The results are new even for G = R n. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.4157
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