Nonlinear Mixed Bi-Skew Jordan Triple Derivations on Prime *-Algebras  

作　　者：Fangfang ZHAO Dongfang ZHANG Changjing LI 

机构地区：[1]School of Mathematics and Statistics,Shandong Normal University,Shandong 250014,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第3期313-323,共11页数学研究及应用（英文版）

摘　　要：Let A be a unital prime ∗*-algebra with a nontrivial projection.In this paper,it is proved that a mapΦ:A→A satisfiesΦ([A,B]⋄◦C)=[Φ(A),B]⋄◦C+[A,Φ(B)]⋄◦C+[A,B]⋄◦Φ(C)for all A,B,C∈A if and only ifΦis an additive *-derivation,where A◦B=A^(*)B+B^(*)A and[A,B]⋄=A^(*)B−B^(*)A.

关 键 词：mixed bi-skew Jordan triple derivations *-derivations prime *-algebras 

分 类 号：O15[理学—数学]