NONLINEAR *-LIE DERIVATIONS OF STANDARD OPERATOR ALGEBRAS

被引：33
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.
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页码：1037 / 1046
页数：10
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