HUANG Xijiao,YANG Yongyan.g-Riesz base sequences in Hilbert spaces[J].Journal of Yanbian University,2014,40(04):305-307，351.
Hilbert空间中的g-Riesz基序列
- Title:
- g-Riesz base sequences in Hilbert spaces
- 关键词:
- Riesz基序列; g-Riesz基序列; g-框架; g-Riesz基
- Keywords:
- Riesz base sequences; g-Riesz base sequences; g-frame; g-Riesz base
- 分类号:
- O177.1
- 文献标志码:
- A
- 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.
- 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 addition, we proved the stability of the g-Riesz base sequence by using the properties of g-Riesz based sequences.
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备注/Memo
收稿日期: 2014-10-10作者简介: 黄喜娇(1980—),女,讲师,研究方向为小波分析及其应用.