摘要
利用算子理论方法构建了Hilbert空间中K-g-框架的一个新对偶,通过它等价刻画了关于不同闭子空间序列的K-g-框架和g-Bessel序列之间的关系.特别地,利用对偶K-g-框架得到了K-g框架稳定性的新结果.此外给出了构造K-g-框架的一些新方法.
This article establishes a new dual for K-g-frames in Hilbert spaces by the method of operator theory, with which a relation between a K-g-frame and a g-Bessel sequence with respect to different sequences of closed subspaces is equivalently characterized and particularly, a new stability result for K-g-frames is presented by using the corresponding dual K-g-frames. Moreover, some new methods for constructing K-g-frames are also given.
出处
《应用泛函分析学报》
2017年第1期104-112,共9页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11461055
11561057)
江西省自然科学基金(20151BAB201007)
江西省教育厅科学技术研究项目(GJJ151061)
