A new class of Kadison-Singer algebras
文献类型：期刊论文
| 作者 | Wang, Liguang1; Yuan, Wei2
|
| 刊名 | EXPOSITIONES MATHEMATICAE
 |
| 出版日期 | 2011 |
| 卷号 | 29期号:1页码:126-132 |
| 关键词 | Kadison-Singer algebra Kadison-Singer lattice Nest Free |
| ISSN号 | 0723-0869 |
| DOI | 10.1016/j.exmath.2010.08.001 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000290749200006 |
| 出版者 | ELSEVIER GMBH, URBAN & FISCHER VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11737]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。