Integral mappings and the principle of local reflexivity for noncommutative L1-spaces

• 成果类型: Article
• 署名作者: Effros, EG; Junge, M; Ruan, ZJ
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121112
• 发表日期: 2000
• 页码: 59-92
• 关键词: c-star-algebras; operator-spaces; tensor-products; subspaces

摘要

The operator space analogue of the strong form of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any C*-algebraic dual. This is in striking contrast to the situation for C*-algebras, since, for example, K(H) does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.