Non-linear *-Jordan derivations on von Neumann algebras

被引：59

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

页码：426 / 439

页数：14

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