Approximate amenability for Banach sequence algebras

被引：40

作者：

Dales, H. G. ^{[1
]}

Loy, R. J.

Zhang, Y.

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[3] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

来源：

STUDIA MATHEMATICA | 2006年 / 177卷 / 01期

关键词：

amenability; approximate amenability; approximately inner; Banach sequence algebra;

D O I：

10.4064/sm177-1-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider when certain Banach sequence algebras A on the set N are approximately amenable. Some general results are obtained, and we resolve the special cases where A = l(p) for 1 <= p < infinity, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras l(p)(w).

引用

页码：81 / 96

页数：16

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