Weak amenability of module extensions of Banach algebras

被引：56
作者：
Zhang, Y [1 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 10期
关键词：
n-weakly amenable; module; dual module; derivation; operator algebra;
D O I：
10.1090/S0002-9947-02-03039-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We start by discussing general, necessary and sufficient conditions for a module extension Banach algebra to be n-weakly amenable, for n = 0, 1,2,.... Then we investigate various special cases, All these case studies finally provide us with a way to construct an example of a weakly amenable Banach algebra which is not 3-weakly amenable. This answers an open question raised by H. G. Dales, F. Ghahramani and N. Gronbak.
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页码：4131 / 4151
页数：21
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