| Banach空间中q-框架与p-Riesz基的性质 |
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| 引用本文： | 艾瑛,卢立才.Banach空间中q-框架与p-Riesz基的性质[J].辽宁师范大学学报(自然科学版),2007,30(2):144-147. |
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| 作者姓名： | 艾瑛 卢立才 |
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| 作者单位： | 1. 沈阳建筑大学,理学院,辽宁沈阳,110168
2. 沈阳师范大学计算中心,辽宁沈阳,110034 |
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| 摘 要： | 通过引入分析算子和合成算子的概念讨论了Banach空间中的q-框架和p-Riesz基的性质，得到了与Hilbert空间中相类似的许多结论．最后介绍q-框架和p-Riesz基扰动的主要结果，并得出关于p-Riesz基扰动的一个定理．
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| 关 键 词： | q-框架 p-Riesz基 Banach空间 |
| 文章编号： | 1000-1735（2007）02-0144-04 |
| 修稿时间： | 2006-10-28 |
The properties of q-frame and P-Riesz basis in Banach spaces |
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| AI Ying,LU Li-cai.The properties of q-frame and P-Riesz basis in Banach spaces[J].Journal of Liaoning Normal University(Natural Science Edition),2007,30(2):144-147. |
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| Authors: | AI Ying LU Li-cai |
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| Institution: | 1. College of Science of Shenyang Jianzhu University, Shenyang 110101, China; 2. Center of Computation of Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | By introducing the concepts of analysis operator and synthesis operator, the properties of q- frames and p-Riesz bases in Banach spaces are discussed. Many similar conclusions to ones in Hilbert spaces are obtained. Finally, we introduce the main perturbation results on q-frames and p-Riesz bases and obtain a theorem about the perturbation of p-Riesz basis. |
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| Keywords: | q-frame p-Riesz basis Banach spaces |
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