Abelian real W*-algebras
文献类型:期刊论文
作者 | Li, ML; Li, BR |
刊名 | ACTA MATHEMATICA SINICA-NEW SERIES
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出版日期 | 1998 |
卷号 | 14期号:1页码:85-90 |
关键词 | real W*-algebras spectral spaces Stonean spaces minimal projections |
ISSN号 | 1000-9574 |
英文摘要 | In this paper, we point out that most results on abelian (complex) W.*-algebras hold in the real case. Of course, there are differences in homeomorphisms of period 2. Moreover, an abelian real Von Neumann algebra not containing any minimal projection on a separable real Hilbert space is * isomorphic to L-tau(infinity)([0, 1]) (all real functions in L-infinity([0, 1])), or L-infinity([0, 1]) (as a real W*-algebra), or L-tau(infinity)([0, 1]) + L-infinity([0, 1]) (as a real W*-algebra), and it is different from the complex case. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000074748700011 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13499] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, ML |
作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, ML,Li, BR. Abelian real W*-algebras[J]. ACTA MATHEMATICA SINICA-NEW SERIES,1998,14(1):85-90. |
APA | Li, ML,&Li, BR.(1998).Abelian real W*-algebras.ACTA MATHEMATICA SINICA-NEW SERIES,14(1),85-90. |
MLA | Li, ML,et al."Abelian real W*-algebras".ACTA MATHEMATICA SINICA-NEW SERIES 14.1(1998):85-90. |
入库方式: OAI收割
来源:数学与系统科学研究院
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