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.

引用

页码：261 / 271

页数：11

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