WEAKLY AMENABLE GROUPS AND THE RNP FOR SOME BANACH ALGEBRAS RELATED TO THE FOURIER ALGEBRA

被引：0
|
作者：
Granirer, Edmond E. [1 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC, Canada
来源：
COLLOQUIUM MATHEMATICUM | 2013年 / 130卷 / 01期
关键词：
weakly amenable groups; Fourier algebra; Radon-Nikodym property; locally compact groups; BOUNDED MULTIPLIERS; SPACES;
D O I：
10.4064/cm130-1-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if G is a weakly amenable unimodular group then the Banach algebra A(p)(r)(G) = A(p) boolean AND L-r (G), where A(p) (G) is the Figa-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.
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页码：19 / 26
页数：8
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