A new class of Kadison-Singer algebras

doi:10.1016/j.exmath.2010.08.001

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	A new class of Kadison-Singer algebras
	Wang, Liguang 1; Yuan, Wei2
	2011
发表期刊	EXPOSITIONES MATHEMATICAE
ISSN	0723-0869
卷号	29 期号:1 页码:126-132
摘要	We show that the projection lattice generated by a maximal nest and a rank one projection in a separable infinite-dimensional Hilbert space is in general reflexive. Moreover we show that the corresponding reflexive algebra has a maximal triangular property, equivalently, it is a Kadison-Singer algebra. Similar results are also obtained for the lattice generated by a finite nest and a projection in a finite factor. (c) 2010 Elsevier GmbH. All rights reserved.
关键词	Kadison-Singer algebra Kadison-Singer lattice Nest Free
DOI	10.1016/j.exmath.2010.08.001
语种	英语
资助项目	NSF of China[10626031] ; NSF of China[10971117] ; Shandong Provincial Education Department[J08LI15] ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000290749200006
出版者	ELSEVIER GMBH, URBAN & FISCHER VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11738
专题	数学所
通讯作者	Wang, Liguang
作者单位	1.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Liguang,Yuan, Wei. A new class of Kadison-Singer algebras[J]. EXPOSITIONES MATHEMATICAE,2011,29(1):126-132.
APA	Wang, Liguang,&Yuan, Wei.(2011).A new class of Kadison-Singer algebras.EXPOSITIONES MATHEMATICAE,29(1),126-132.
MLA	Wang, Liguang,et al."A new class of Kadison-Singer algebras".EXPOSITIONES MATHEMATICAE 29.1(2011):126-132.