Nonlinear Mixed Jordan triple *-Derivations on Factor von Neumann Algebras

被引:5
作者
Li, Changjing [1 ]
Zhang, Dongfang [1 ]
机构
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
关键词
mixed Jordan triple *-derivations; *-derivations; factor von Neumann algebras; 2-LOCAL LIE ISOMORPHISMS; PRESERVING PRODUCT; MAPS; RINGS;
D O I
10.2298/FIL2208637L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be a factor von Neumann algebra with dim A >= 2. In this paper, it is proved that a map Phi : A -> A is a nonlinear mixed Jordan triple *-derivation if and only if Phi is an additive *-derivation.
引用
收藏
页码:2637 / 2644
页数:8
相关论文
共 34 条
[1]   Maps preserving products XY-YX* on von Neumann algebras [J].
Bai, Zhaofang ;
Du, Shuanping .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (01) :103-109
[2]  
Bresar M, 2000, PUBL MATH-DEBRECEN, V57, P121
[3]   Nonlinear maps preserving Jordan *-products [J].
Dai, Liqing ;
Lu, Fangyan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) :180-188
[4]  
emrl P., 1990, Colloq. Math, V59, P241
[5]  
Halmos P. R., 1982, Hilbert space problem book
[6]   Nonlinear maps preserving Jordan triple η-*-products [J].
Huo, Donghua ;
Zheng, Baodong ;
Liu, Hongyu .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 430 (02) :830-844
[7]   NONLINEAR *-LIE DERIVATIONS OF STANDARD OPERATOR ALGEBRAS [J].
Jing, Wu .
QUAESTIONES MATHEMATICAE, 2016, 39 (08) :1037-1046
[8]  
Li C, 2018, B IRAN MATH SOC, V44, P729, DOI 10.1007/s41980-018-0048-3
[9]   Nonlinear Skew Lie Triple Derivations between Factors [J].
Li, Chang Jing ;
Zhao, Fang Fang ;
Chen, Quan Yuan .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (07) :821-830
[10]   Strong Skew Commutativity Preserving Maps on Rings with Involution [J].
Li, Chang Jing ;
Chen, Quan Yuan .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (06) :745-752