Zero product preserving maps of operator-valued functions

CSpace

	Zero product preserving maps of operator-valued functions
	Ke, WF ; Li, BR ; Wong, NC
	2004
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	132 期号:7 页码:1979-1985
摘要	Let X, Y be locally compact Hausdorff spaces and M, N be Banach algebras. Let theta : C-0(X,M) --> C-0(Y,N) be a zero product preserving bounded linear map with dense range. We show that theta is given by a continuous field of algebra homomorphisms from M into N if N is irreducible. As corollaries, such a subjective theta arises from an algebra homomorphism, provided that M is a W-algebra and N is a semi-simple Banach algebra, or both M and N are C-algebras.
关键词	zero product preserving maps Banach algebra homomorphisms
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221028600014
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/19565
专题	中国科学院数学与系统科学研究院
通讯作者	Ke, WF
作者单位	1.Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 3.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
推荐引用方式 GB/T 7714	Ke, WF,Li, BR,Wong, NC. Zero product preserving maps of operator-valued functions[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2004,132(7):1979-1985.
APA	Ke, WF,Li, BR,&Wong, NC.(2004).Zero product preserving maps of operator-valued functions.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,132(7),1979-1985.
MLA	Ke, WF,et al."Zero product preserving maps of operator-valued functions".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 132.7(2004):1979-1985.