Geodesic
Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
Edmond E. Granirer1
1Department 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 
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
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