| TENSOR PRODUCTS OF JACOBSON RADICALS IN NEST ALGEBRAS |
| |
| 作者姓名： | DONG Zhe |
| |
| 作者单位： | DONG ZHE Departinent of Mathematics，Zhejiang University，Hangzhou 310027，China. Institute of Mathematics，Fudan University，Shanghai 200433，China. |
| |
| 摘 要： | This paper studies the tensor product RN RM of Jacobson radicals in nest algebras, and obtains that RN RM = {T∈B(H1 H2) : T(N M)(?)N_ M_, N∈N,M∈M}; and based on the characterization of rank-one operators in RN RM,it is proved that if N, M are non-trivial then RN RM=R if and only if N, M are continuous.
|
| 关 键 词： | 张量积 Jacobson根 Nest代数 算子 vonNeumann代数 Tomita交换公式 Hilbert空间 |
| 收稿时间： | 3/2/2011 12:00:00 AM |
Tensor Products of Jacobson Radicals in Nest Algebras |
| |
| DONG Zhe.TENSOR PRODUCTS OF JACOBSON RADICALS IN NEST ALGEBRAS[J].Chinese Annals of Mathematics,Series B,2003,24(3):323-330. |
| |
| Authors: | DONG Zhe |
| |
| Institution: | Department of Mathematics,Zhejiang University,Hangzhou 310027,China; Institute of Mathematics, Fudan University, Shanghai 200433, China |
| |
| Abstract: | This paper studies the tensor product RN w RM of Jacobson radicals in nest algebras,and obtains that RN w RM = {T ∈B(H1 H2): T ( N M) N_ M_ , N ∈ N, M ∈ M};and based on the characterization of rank-one operators in RN w RM, it is proved that ifN, M are non-trivial then RN w RM = RwN M if and only if N, M are continuous. |
| |
| Keywords: | Jacobson radical Tensor product Nest algebra |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
