Geodesic
Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
Edmond E. Granirer1
1 Department of Mathematics University of British Columbia Vancouver, B.C., Canada
Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 19-26.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that if $G$ is a weakly amenable unimodular group then the Banach algebra $A_p^r(G)=A_p\cap L^r(G)$, where $A_p(G)$ is the Figà-Talamanca–Herz Banach algebra of $G$, is a dual Banach space with the Radon–Nikodym property if $1\leq r\leq \max(p,p')$. This does not hold if $p=2$ and $r>2$.
DOI : 10.4064/cm130-1-2
Keywords: shown weakly amenable unimodular group banach algebra g cap where fig talamanca herz banach algebra dual banach space radon nikodym property leq leq max does

Edmond E. Granirer 1

1 Department of Mathematics University of British Columbia Vancouver, B.C., Canada 
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Edmond E. Granirer. Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra. Colloquium Mathematicum, Tome 130 (2013) no. 1, pp. 19-26. doi : 10.4064/cm130-1-2. http://geodesic.mathdoc.fr/articles/10.4064/cm130-1-2/

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