| 几种g-框架与其对应子空间的框架之间的关系 |
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| 引用本文： | 黄新丽. 几种g-框架与其对应子空间的框架之间的关系[J]. 曲阜师范大学学报, 2013, 0(4): 28-34 |
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| 作者姓名： | 黄新丽 |
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| 作者单位： | 福州海峡职业技术学院,福建省福州市350014 |
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| 摘 要： | 定义了g-框架关于其对应子空间序列的框架的导出序列，用该导出序列给出了g-框架、g-Riesz基和g—Riesz框架的等价刻砸，接着对g—Besselian框架和拟g—Riesz基是否具有类似的刻画进行了讨论．
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| 关 键 词： | g-框架 g—Riesz基 g—Riesz框架 g—Besselian框架 拟g—Riesz基 |
The Relationship Between Several g-Frames and the Frames for Their Corresponding Subspaces |
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| HUANG Xin-li. The Relationship Between Several g-Frames and the Frames for Their Corresponding Subspaces[J]. Journal of Qufu Normal University(Natural Science), 2013, 0(4): 28-34 |
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| Authors: | HUANG Xin-li |
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| Affiliation: | HUANG Xin-li (Fuzhou Straits Vocational and Technological College,350014,Fuzhou,Fujian,PRC) |
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| Abstract: | The induced sequence by g-frames with respect to the frames for its corresponding subspaces is defined. It offers some equivalent characterizations of g-frames,g-Riesz bases and g-Riesz frames with the induced sequences. And whether g-Besselian frames and near g-Riesz bases have the same characteriza- tions is discussed, too. |
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| Keywords: | g-frames g-Riesz bases g-Riesz frames g-Besselian frames near g-Riesz bases |
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