Lie Derivations of Reflexive Algebras

被引：30
作者：
Lu, Fangyan [1 ]
Liu, Benhong [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2009年 / 64卷 / 02期
关键词：
Lie derivations; derivations; reflexive algebras; nest algebras; SYMMETRIC AMENABILITY; TRIANGULAR ALGEBRAS; COMMUTING TRACES; PRIME-RINGS; INVOLUTION;
D O I：
10.1007/s00020-009-1689-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Lie derivation is called standard if it is a sum of a derivation and a linear map with image in the center vanishing on commutators. In this paper we show that Lie derivations of a reflexive algebra AlgL on a Banach space are standard if L is a nest, or has the non-trivial smallest element, or has the non-trivial greatest element.
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收藏
页码：261 / 271
页数：11
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