NONLINEAR *-JORDAN TRIPLE DERIVATIONS ON VON NEUMANN ALGEBRAS

被引：53

作者：

Zhao, Fangfang ^{[1
]}

Li, Chanjing ^{[1
]}

机构：

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

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 01期

基金：

中国国家自然科学基金;

关键词：

(*)-Jordan triple derivations; derivations; von Neumann algebras; JORDAN ASTERISK-DERIVATIONS; OPERATOR-ALGEBRAS; INVOLUTION; PRODUCT; RINGS; MAPS;

D O I：

10.1515/ms-2017-0089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B(H) be the algebra of all bounded linear operators on a complex Hilbert space H and A subset of B(H) be a von Neumann algebra with no central summands of type I-1. For A, B is an element of A, define by A center dot B = AB + BA* a new product of A and B. In this article, it is proved that a map Phi: A -> B(H) satisfies Phi (A center dot B center dot C)=Phi(A)center dot B center dot C+A center dot Phi(B)center dot C+A center dot B center dot Phi(C) for all A,B,C is an element of A if and only if Phi is an additive (*)-derivation. (C) 2017 Mathematical Institute Slovak Academy of Sciences

引用

页码：163 / 170

页数：8

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