因子von Neumann代数上非线性混合Jordan三重可导映射

庞永锋; 张丹莉; 马栋

doi:10.7540/j.ynu.20200503

庞永锋, 张丹莉, 马栋. 因子von Neumann代数上非线性混合Jordan三重可导映射[J]. 云南大学学报(自然科学版), 2021, 43(4): 629-634. doi: 10.7540/j.ynu.20200503

引用本文:

庞永锋, 张丹莉, 马栋. 因子von Neumann代数上非线性混合Jordan三重可导映射[J]. 云南大学学报(自然科学版), 2021, 43(4): 629-634. doi: 10.7540/j.ynu.20200503

PANG Yong-feng, ZHANG Dan-li, MA Dong. Nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(4): 629-634. DOI: 10.7540/j.ynu.20200503

Citation:

PANG Yong-feng, ZHANG Dan-li, MA Dong. Nonlinear mixed Jordan triple derivable mapping on factor von Neumann algebras[J]. Journal of Yunnan University: Natural Sciences Edition, 2021, 43(4): 629-634. DOI: 10.7540/j.ynu.20200503

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

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.

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