| HilbertK-模上框架向量的参数化 |
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| 引用本文： | 董芳芳,孟彬,付焕坤.HilbertK-模上框架向量的参数化[J].山东大学学报(自然科学版),2010(3):85-89. |
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| 作者姓名： | 董芳芳 孟彬 付焕坤 |
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| 作者单位： | [1]天水师范学院数学与统计学院,甘肃天水741001 [2]南京航空航天大学理学院,江苏南京210016 |
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| 基金项目： | 天水师范学院中青年教师科研资助项目（TSA0934） |
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| 摘 要： | 考虑紧算子代数模（简称HilbertK-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HilbertK-模上的框架向量进行了参数化。
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| 关 键 词： | HilbertK-模 酉系统 框架向量 参数化 |
The parametrization of frame vectors for a unitary system on Hilbert K-modules |
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| 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(Natural Science Edition),2010(3):85-89. |
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| Authors: | DONG Fang-fang MENG Bin FU Huan-kun |
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| 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) |
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| Abstract: | Module on compact operator algebras which are called Hilbert K-modules are considered,and the concepts of unitary system on Hilbert K-modules and its frame vectors are introduced.The basic properties of the unitary system and its frame vectors are studied.Finally,frame vectors for a unitary system on Hilbert K-modules are parametrized. |
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| Keywords: | Hilbert K-modules unitary system frame vector parametrization |
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