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用算子矩阵构造g-框架 被引量:1

Constructing new g-frames by operator matrix
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摘要 给出一种用算子矩阵构造g-框架的方法.首先讨论保持g-框架稳定性的算子矩阵所需满足的条件,然后指出任意一个Hilbert空间H关于{Vj}j∈J的g-框架都可以由一个已知的H关于{Vj}j∈J的g-框架构造出来,最后给出了算子矩阵的一些特征. In this paper, we introduce one method to generate g - frames by using operator matrix. At first, we study the condition of the operator matrix that obtains the stability of g - frames. Then we prove that all g -frames for H with respect to {Vj}j∈J can be constructed by a given g - frame for H with respect to {Vj}j∈J Lastly, we give some characterizations of operator matrix.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第5期629-633,共5页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2009J01007) 福建省教育厅科研资助项目(JA08013)
关键词 G-框架 稳定性 算子矩阵 g - frames stability operator matrix
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参考文献9

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二级参考文献20

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