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
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 $r>2$.
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
Affiliations des auteurs :
Edmond E. Granirer 1
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title = {Weakly amenable groups and the {RNP} for some {Banach} algebras related to the {Fourier} algebra},
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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
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