【摘要】 在复Hilbert空间中定义了K-g-框架与K-g-Riesz基,探讨K-g-框架与g-框架的一些性质差别,并给出了K-g-Riesz基的等价刻画.利用分析与框架理论上的方法和技巧,研究了复Hilbert空间中K-g-框架与K-g-Riesz基扰动的稳定性,得到了K-g-框架与K-g-Riesz基满足扰动稳定性的充分条件.更多还原

【Abstract】 We introduce the concepts of K-g-frames and K-g-Riesz bases in complex Hilbert spaces and study the essential distinctions between a K-g-frame and a g-frame.We give a characterization of a K-g-frames and an equivalent characterization of a K-g-Riesz basis in complex Hilbert spaces.Lastly,by using the analytical methods and techniques in frame theory,we obtain some sufficient conditions for the stability of perturbation of K-g-frames and K-g-Riesz bases.更多还原