Local derivations of nest subalgebras of von Neumann algebras

被引：11
|
作者：
Zhang, JH [1 ]
Ji, GX [1 ]
Cao, HX [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 392卷
基金：
中国国家自然科学基金;
关键词：
derivation; local derivation; 2-local derivation; nest subalgebra;
D O I：
10.1016/j.laa.2004.05.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, it is proved that every norm continuous linear local derivation of a nest subalgebra of a factor von Neumann algebra is a derivation, and that every linear 2-local derivation of a nest subalgebra of a factor von Neumann algebra is a derivation. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：61 / 69
页数：9
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