NONLINEAR *-LIE DERIVATIONS OF STANDARD OPERATOR ALGEBRAS

被引：36

作者：

Jing, Wu ^{[1
]}

机构：

[1] Fayetteville State Univ, Dept Math & Comp Sci, Fayetteville, NC 28301 USA

来源：

QUAESTIONES MATHEMATICAE | 2016年 / 39卷 / 08期

关键词：

Nonlinear *-Lie derivation; derivation; standard operator algebra; MAPPINGS; RINGS;

D O I：

10.2989/16073606.2016.1247119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be an infinite dimensional complex Hilbert space and A be a standard operator algebra on H which is closed under the adjoint operation. We prove that every nonlinear *-Lie derivation delta of A is automatically linear. Moreover, delta is an inner *-derivation.

引用

页码：1037 / 1046

页数：10

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