KMS Of Academy of mathematics and systems sciences, CAS
Real reduction theory | |
Li, BR | |
1998-06-01 | |
发表期刊 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
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ISSN | 1006-9283 |
卷号 | 41期号:6页码:574-581 |
摘要 | On a Borel bar space (E, B, -), the following concepts are introduced in a suitable way: measurable fields of real Hilbert spaces, real measurable fields of vectors, operators and Von Neumann (VN) algebras: xi(.), a (.), M(.). Then a satisfactory real reduction theory is obtained: a real VN algebra M can be represented as a direct integral M = integral((E, -))(+) M(t)d nu(t), where each VN algebra M(t) in this field will be simpler. |
关键词 | real VN algebra real diagonal operator algebra real measurable field of VN algebras real reduction theory |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000075220700002 |
出版者 | SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/13866 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, BR |
作者单位 | Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, BR. Real reduction theory[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(6):574-581. |
APA | Li, BR.(1998).Real reduction theory.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(6),574-581. |
MLA | Li, BR."Real reduction theory".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.6(1998):574-581. |
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