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An order characterization of commutativity for C*-algebras
Wu, W
2001
Source PublicationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9939
Volume129Issue:4Pages:983-987
AbstractIn 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.
Keywordcommutativity for C*-algebras operator-monotonic increasing function positive element
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000166283500006
PublisherAMER MATHEMATICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16133
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWu, W
Affiliation1.E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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