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K-g-框架扰动的稳定性 被引量:3

The Stability of Perturbation of K-g-frames
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摘要 在Hilbert空间中定义了K-g-框架,研究了Hilbert空间中K-g-框架扰动的稳定性,利用分析与框架理论上的方法和技巧,得到了K-g-框架满足扰动稳定性的一些充分条件,所得的结论推广了g-框架扰动稳定性的相关结果. This paper introduces the definition of K-g-frames in Hilbert spaces. It s- tudies the stability of per^turbation of K-g-frames. By using the analytical methods and techniques in frames theory, it obtains some sufficient conditions satisfying the stabili- ty of perturbation of K-g-frames which generalizes the related results of the stability of perturbation of g- frames.
作者 周燕 曹月芬
出处 《数学研究》 CSCD 2013年第2期175-182,共8页 Journal of Mathematical Study
基金 天元基金(11226099) 福州大学科技发展基金资助(2012-XY-21 2012-XQ-29) 福州大学科研启动项目基金资助(022410)
关键词 K-框架 K-g-框架 扰动 G-frame K-g-frame Perturbation
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