首页 | 本学科首页   官方微博 | 高级检索  
     检索      

因子von Neumann代数上的非线性Lie导子
引用本文:张芳娟,张建华,陈琳,朱新宏.因子von Neumann代数上的非线性Lie导子[J].数学学报,2011(5).
作者姓名:张芳娟  张建华  陈琳  朱新宏
作者单位:西安邮电学院理学院;陕西师范大学数学与信息科学学院;中国兵器工业203研究所;
基金项目:国家自然科学基金资助项目(10571114); 陕西省自然科学基础研究计划资助项目(2004A17)
摘    要:设M是作用在维数大于2的复可分Hilbert空间,■上的因子von Neumann代数.证明了因子von Neumann代数M上的每一个非线性Lie导子具有形式A→ψ(A)+h(A)I,其中:.M→M是可加的导子,h:M→C是非线性映射且对所有A,B∈M,有h(AB-BA)=0.

关 键 词:Lie导子  非线性  von  Neumann代数

Nonlinear Lie Derivations on Factor von Neumann Algebras
Fang Juan ZHANG School of Science,Xi'an University of Posts , Telecommunications,Xi'an ,P.R.China Jian Hua ZHANG Lin CHEN College of Mathematics , Information Science,Shaanxi Normal University,Xi'an ,P.R.China Xin Hong ZHU The rd Research Institute of China Armament Industry,Xi'an ,P.R.China.Nonlinear Lie Derivations on Factor von Neumann Algebras[J].Acta Mathematica Sinica,2011(5).
Authors:Fang Juan ZHANG School of Science  Xi'an University of Posts  Telecommunications  Xi'an  PRChina Jian Hua ZHANG Lin CHEN College of Mathematics  Information Science  Shaanxi Normal University  Xi'an  PRChina Xin Hong ZHU The rd Research Institute of China Armament Industry  Xi'an  PRChina
Institution:Fang Juan ZHANG School of Science,Xi'an University of Posts and Telecommunications,Xi'an 710121,P.R.China Jian Hua ZHANG Lin CHEN College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,P.R.China Xin Hong ZHU The 203rd Research Institute of China Armament Industry,Xi'an 710065,P.R.China
Abstract:Let M be a factor von Neumann algebra acting on a complex separable Hilbert space H with dim H>2.We prove that every nonlinear Lie derivation on a factor von Neumann algebra M is of the form A→■(A) + h(A)I,where:M→.M is an additive derivation and h:M→C is a nonlinear map with h(AB—BA) = 0 for all A,B∈M.
Keywords:Lie derivation  nonlinear  von Neumann algebra  
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号