Linear maps preserving ideals of C*-algebras

CSpace

	*Linear maps preserving ideals of C-algebras**
	Cui, JL ; Hou, JC
	2003
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	131 期号:11 页码:3441-3446
摘要	We show that every unital linear bijection which preserves the maximal left ideals from a semi-simple Banach algebra onto a C-algebra of real rank zero is a Jordan isomorphism. Furthermore, every unital self-adjoint linear bijection on a countably decomposable factor von Neumann algebra is maximal left ideal preserving if and only if it is a -automorphism.
关键词	Jordan homomorphism maximal left ideals Banach algebras C*-algebras
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000184414700017
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18191
专题	中国科学院数学与系统科学研究院
通讯作者	Cui, JL
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Cui, JL,Hou, JC. Linear maps preserving ideals of C*-algebras[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,131(11):3441-3446.
APA	Cui, JL,&Hou, JC.(2003).Linear maps preserving ideals of C*-algebras.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,131(11),3441-3446.
MLA	Cui, JL,et al."Linear maps preserving ideals of C*-algebras".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131.11(2003):3441-3446.