| Von Neumann 代数中的 Kakutani 定理 |
| |
| 引用本文： | 魏国强,黄勇.Von Neumann 代数中的 Kakutani 定理[J].上海师范大学学报(自然科学版),1993(4). |
| |
| 作者姓名： | 魏国强 黄勇 |
| |
| 作者单位： | 华东师范大学数学系，华东师范大学数学系 |
| |
| 基金项目： | 国家自然科学基金资助。 |
| |
| 摘 要： | 本文定义了 Von Neumann 代数态空间上的 Kakutani 内积。证明了这个内积具有半可乘性并可用它来度量态的奇异程度。此外,又证明了每个超有限 Von Neumann 代数存在不可数多个两两正交的态。
|
| 关 键 词： | Von Neumann 代数 态 奇异性 |
Kakutani Theorem in Von Neumann Algebras |
| |
| WEI GUOQIAN HUANG YONG.Kakutani Theorem in Von Neumann Algebras[J].Journal of Shanghai Normal University(Natural Sciences),1993(4). |
| |
| Authors: | WEI GUOQIAN HUANG YONG |
| |
| Institution: | WEI GUOQIAN HUANG YONG Department of Mathematics |
| |
| Abstract: | The Kakutani inner product on the state space of von Neumann algebras is defined and some of its properties are investigated.It turns out that the Kakutani inner product has the property of semi-multiplicative and it can be used to meas- ure the singular degree of states.Moreover,it is showed that for every hypofinite von Neumann algebra there exists a family of uncountably many states which are pairwise orthogonal. |
| |
| Keywords: | Von Neumann algebra state singular degsee |
| 本文献已被 CNKI 等数据库收录！ |
