| Hilbert空间连续K-框架的若干研究 |
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| 引用本文： | 肖祥春,丁明玲,朱玉灿. Hilbert空间连续K-框架的若干研究[J]. 安徽大学学报(自然科学版), 2013, 0(2): 31-35 |
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| 作者姓名： | 肖祥春 丁明玲 朱玉灿 |
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| 作者单位： | 福州大学数学与计算机科学学院;福建农林大学计算机与信息学院 |
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| 基金项目： | 福建省自然科学基金资助项目(2009J01007);福州大学科研基金资助项目(022410);福建省教育厅科技基金资助项目(JA11100) |
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| 摘 要： | 在Hilbert空间引入连续K-框架的概念,给出连续K-框架的多种等价刻画,同时给出连续K-框架的交错对偶对所涉及的两个序列可互换的一个充分条件及一种具体的构造连续K-框架交错对偶对的方法.最后给出两种不同的方法去构造新的连续K-框架.
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| 关 键 词： | K-框架 连续K-框架 可测 交错对偶 |
Several studies of continuous K-frame in Hilbert spaces |
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| XIAO Xiang-chun,DING Ming-ling,ZHU Yu-can. Several studies of continuous K-frame in Hilbert spaces[J]. Journal of Anhui University(Natural Sciences), 2013, 0(2): 31-35 |
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| Authors: | XIAO Xiang-chun DING Ming-ling ZHU Yu-can |
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| Affiliation: | 1(1.Department of Mathematics,Fuzhou University,Fuzhou 350108,China; 2.College of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou 350002,China) |
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| Abstract: | In the paper,we introduced the concept of continuous K-frame in Hilbert spaces,gave several kinds of equivalent characterizations for continuous K-frames.We also gave a sufficient condition for the two sequences involving in an alternate dual pair of continuous K-frames to be commutable,and a concrete method to construct an alternate dual pair of continuous K-frames.Finally we presented two different methods to construct new continuous K-frames. |
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| Keywords: | K-frame continuous K-frame measurable alternate dual |
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