RELATIVE COMMUTANT OF AN UNBOUNDED OPERATOR AFFILIATED WITH A FINITE VON NEUMANN ALGEBRA | |
Hadwin, Don1; Shen, Junhao1; Wu, Wenming2; 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. |
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