THE APPROXIMATION PROPERTY AND NILPOTENT IDEALS IN AMENABLE BANACH-ALGEBRAS

被引：9

作者：

LOY, RJ ^{[1
]}

WILLIS, GA ^{[1
]}

机构：

[1] UNIV NEWCASTLE,DEPT MATH,NEWCASTLE,NSW 2308,AUSTRALIA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1994年 / 49卷 / 02期

关键词：

D O I：

10.1017/S0004972700016403

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that non-zero nilpotent ideals in amenable Banach algebras must be infinite-dimensional. We show that under certain additional hypotheses such ideals cannot even have the approximation property.

引用

页码：341 / 346

页数：6

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