Nonlinear bi-skew Jordan-type derivations on ?-algebras

被引：3

作者：

Zhao, Fangfang ^{[1
]}

Zhang, Dongfang ^{[1
]}

Li, Changjing ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

FILOMAT | 2023年 / 37卷 / 13期

关键词：

bi-skew Jordan derivations; -derivations; additivity; 2-LOCAL LIE ISOMORPHISMS; ASTERISK-DERIVATIONS; MAPS; TRIPLE; PRODUCT; MAPPINGS;

D O I：

10.2298/FIL2313211Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a unital *-algebra. In this paper, under some mild conditions on A, it is shown that (1) is a nonlinear bi-skew Jordan-type derivations on A if and only if (1) is an additive *-derivation. As applications, the nonlinear bi-skew Jordan-type derivations on prime *-algebras, von Neumann algebras with no central summands of type I1, factor von Neumann algebras and standard operator algebras are characterized.

引用

页码：4211 / 4219

页数：9

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