RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA

doi:10.7900/jot.2014jan23.2065

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	RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA
	Hadwin, Don 1; Shen, Junhao 1; Wu, Wenming 2; Yuan, Wei3
	2016-12-01
发表期刊	JOURNAL OF OPERATOR THEORY
ISSN	0379-4024
卷号	75 期号:1 页码:209-223
摘要	This paper is concerned with the commutant of unbounded operators affiliated with finite von Neumann algebras. We prove an unbounded Fuglede-Putnam type theorem and present examples of closed operators affiliated with some II1 factor with trivial relative commutant in the factor.
关键词	Fuglede-Putnam theorem II1 factors unbounded operators relative commutant transitive lattice
DOI	10.7900/jot.2014jan23.2065
语种	英语
资助项目	National Science Foundation of China (NSFC)[11271390] ; National Science Foundation of China (NSFC)[11371222] ; National Science Foundation of China (NSFC)[11301511] ; National Science Foundation of China (NSFC)[11321101] ; National Science Foundation of China (NSFC)[11371290]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000376837900011
出版者	THETA FOUNDATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22823
专题	数学所
通讯作者	Hadwin, Don; Shen, Junhao; Wu, Wenming; Yuan, Wei
作者单位	1.Univ New Hampshire, Dept Math, Durham, NH 03824 USA 2.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Hadwin, Don,Shen, Junhao,Wu, Wenming,et al. RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA[J]. JOURNAL OF OPERATOR THEORY,2016,75(1):209-223.
APA	Hadwin, Don,Shen, Junhao,Wu, Wenming,&Yuan, Wei.(2016).RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA.JOURNAL OF OPERATOR THEORY,75(1),209-223.
MLA	Hadwin, Don,et al."RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA".JOURNAL OF OPERATOR THEORY 75.1(2016):209-223.