| Hilbert K-模上框架向量的参数化 |
| |
| 引用本文： | 董芳芳,孟彬,付焕坤.Hilbert K-模上框架向量的参数化[J].山东大学学报(理学版),2010,45(3):85-89. |
| |
| 作者姓名： | 董芳芳 孟彬 付焕坤 |
| |
| 作者单位： | 1. 天水师范学院数学与统计学院,甘肃天水741001;南京航空航天大学理学院,江苏南京210016
2. 南京航空航天大学理学院,江苏南京,210016 |
| |
| 基金项目： | 天水师范学院中青年教师科研资助项目 |
| |
| 摘 要： | 考虑紧算子代数模(简称Hilbert K-模), 引入了这种模上的酉系统和框架向量, 并研究了其性质, 最后将Hilbert K-模上的框架向量进行了参数化。
|
| 关 键 词： | Hilbert K-模 酉系统 框架向量 参数化 |
| 收稿时间： | 2009-09-14 |
The parametrization of frame vectors for a unitary system on Hilbert K-modules |
| |
| DONG Fang-fang,MENG Bin,FU Huan-kun.The parametrization of frame vectors for a unitary system on Hilbert K-modules[J].Journal of Shandong University,2010,45(3):85-89. |
| |
| Authors: | DONG Fang-fang MENG Bin FU Huan-kun |
| |
| Institution: | 1. College of Mathematical and Statistics, Tianshui Normal University, Tianshui 741001, Gansu, China；
2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China |
| |
| Abstract: | Module on compact operator algebras which are called Hilbert K-modules are considered, and the concepts ofunitary system on Hilbert K-modules and its frame vectors are introduced. The basic properties of the unitary system andits frame vectors are studied. Finally, frame vectors for a unitary system on Hilbert K-modules are parametrized. |
| |
| Keywords: | Hilbert Hilbert K-modules unitary system frame vector parametrization |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
|
