CSpace
Real reduction theory
Li, BR
1998-06-01
发表期刊SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
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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