K-g-框架与子空间对偶g-框架

K-g-Frames and Dual g-Frames for Closed Subspaces

在Hilbert空间中定义K-g-框架,探讨K-g-框架与g-框架的一些本质差别.利用特殊闭子空间的对偶g-框架来刻画K-g-框架,给出构造特殊闭子空间对偶g-框架的一种方法,并介绍相关的K-g-框架的一些性质.

We introduce the concept of if-g-frames in Hilbert spaces and study the essential distinctions between K-g-frames and g-frames.Then we characterize K-gframes by using dual g-frames of special closed subspaces and give a way to construct dual g-frames for special closed subspaces.Finally,we study some properties of K-g- frames.