中文摘要：

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．

英文摘要：

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.