An order characterization of commutativity for C*-algebras

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	*An order characterization of commutativity for C-algebras**
	Wu, W
	2001
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	129 期号:4 页码:983-987
摘要	In this paper, we investigate the problem of when a C-algebra is commutative through operator-monotonic increasing functions. The principal result is that the function e(t); t is an element of [0; infinity); is operator-monotonic increasing on a C-algebra A if and only if A is commutative. Therefore, C*-algebra A is commutative if and only if e(x+y) = e(x)e(y) in A (+) over dot C for all positive elements x, y in A.
关键词	commutativity for C*-algebras operator-monotonic increasing function positive element
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000166283500006
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/16133
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, W
作者单位	1.E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wu, W. An order characterization of commutativity for C*-algebras[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2001,129(4):983-987.
APA	Wu, W.(2001).An order characterization of commutativity for C*-algebras.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,129(4),983-987.
MLA	Wu, W."An order characterization of commutativity for C*-algebras".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 129.4(2001):983-987.