On the range of a Lie derivation on a Banach algebra

被引：2

作者：

Berenguer, MI ^{[1
]}

Villena, AR ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 02期

关键词：

D O I：

10.1080/00927870008826876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If A is a Banach algebra and D is a Lie derivation on A such that for a fixed k [a, D(a)](k) = [a,...,[a, [a, Da]]...] is in the radical of A for all a is an element of A, then [D(A), A] is contained ill the radical of A.

引用

页码：1045 / 1050

页数：6

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