Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra

Edmond E. Granirer. "Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra." Colloquium Mathematicae 130.1 (2013): 19-26. <http://eudml.org/doc/284239>.

@article{EdmondE2013,
abstract = {It is shown that if G is a weakly amenable unimodular group then the Banach algebra $A_\{p\}^r(G) = A_\{p\} ∩ L^r(G)$, 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 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.},
author = {Edmond E. Granirer},
journal = {Colloquium Mathematicae},
keywords = {weakly amenable groups; Fourier algebra; Radon-Nikodym property; locally compact groups},
language = {eng},
number = {1},
pages = {19-26},
title = {Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra},
url = {http://eudml.org/doc/284239},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Edmond E. Granirer
TI - Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 19
EP - 26
AB - It is shown that if G is a weakly amenable unimodular group then the Banach algebra $A_{p}^r(G) = A_{p} ∩ L^r(G)$, 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 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.
LA - eng
KW - weakly amenable groups; Fourier algebra; Radon-Nikodym property; locally compact groups
UR - http://eudml.org/doc/284239
ER -