The Radon-Nikodym property for some Banach algebras related to the Fourier algebra

Author:

Granirer Edmond

Abstract

The Radon-Nikodym property for the Banach algebras A p r ( G ) = A p L r ( G ) A_p^r(G)=A_p\cap L^r(G) , where A 2 ( G ) A_2(G) is the Fourier algebra, is investigated. A complete solution is given for amenable groups G G if 1 > p > 1>p>\infty and for arbitrary G G if p = 2 p=2 and A 2 ( G ) A_2(G) has a multiplier bounded approximate identity. The results are new even for G = R n G=\mathbb {R}^n .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference37 articles.

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