Non-linear *-Jordan derivations on von Neumann algebras

被引：56
|
作者：
Taghavi, Ali [1 ]
Rohi, Hamid [1 ]
Darvish, Vahid [1 ]
机构：
[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
来源：
LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 03期
关键词：
*-Jordan derivation; von Neumann algebra; additive map; LIE ISOMORPHISMS; MAPS; ADDITIVITY;
D O I：
10.1080/03081087.2015.1043855
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a factor von Neumann algebra and phi be the *-Jordan derivation on A, that is, for every A, B is an element of A, phi(A lozenge(1) B) = phi(A) lozenge(1) B + A lozenge(1) phi(B) where A lozenge(1) B = AB + BA*, then phi is additive *-derivation.
引用
收藏
页码：426 / 439
页数：14
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