因子von Neumann代数上非线性混合Jordan三重可导映射

Nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras

摘要: 首先给出非线性混合Jordan三重可导映射的定义, 然后利用矩阵分解的方法, 证明了因子von Neumann代数上的非线性混合Jordan三重可导映射是可加*-导子.

Abstract: First, the definition of non-linear mixed Jordan triple derivable mapping is given. Second, by the method of matrix decomposition, it is proved that every non-linear mixed Jordan triple derivable mapping from a factor von Neumann algebra into itself is an addictive *- derivation.