| Hilbert空间中的g-Riesz基序列 |
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| 引用本文： | 黄喜娇,杨永燕. Hilbert空间中的g-Riesz基序列[J]. 延边大学学报(自然科学版), 2014, 0(4): 305-307 |
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| 作者姓名： | 黄喜娇 杨永燕 |
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| 作者单位： | 安阳师范学院人文管理学院建筑工程学院,河南安阳455000 |
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| 摘 要： | 在复Hilbert空间中,根据g-框架的概念及其相关性质,引进了g-Riesz基序列的概念,并得到了若干g-Riesz基序列的性质.另外,利用g-Riesz基序列的性质证明了g-Riesz基的稳定性.
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| 关 键 词： | Riesz基序列 g-Riesz基序列 g-框架 g-Riesz基 |
g-Riesz base sequences in Hilbert spaces |
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| HUANG Xijiao,YANG Yongyan. g-Riesz base sequences in Hilbert spaces[J]. Journal of Yanbian University (Natural Science), 2014, 0(4): 305-307 |
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| Authors: | HUANG Xijiao YANG Yongyan |
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| Affiliation: | ( College of Architectural Engineering, Humanistic Management College of Anyang Normal University, Anyang 455000, China ) |
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| Abstract: | We introduced the definition of a g-Riesz base sequence in a complex Hilbert space and obtained some characterizations of the g-Riesz base sequence by using the concept of g-frame and its related properties.In ad-dition,we proved the stability of the g-Riesz base sequence by using the properties of g-Riesz based sequences. |
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| Keywords: | Riesz base sequences g-Riesz base sequences g-frame g-Riesz base |
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