Camparing Some Properties of Frames and K-Frames in Hilbert Spaces

K-frames, as a new generalization of frames which were recently introduced by G˘avru¸ta in Hilbert spaces. They are more general than frames in the sence that the lower frame bound only holds for the elements in the rang of K, where K is a bounded linear operator in a separable Hilbert space H. Many properties for frames may not hold for K-frames. In this paper we will discuss some di erences between K-frames and frames.

کلیدواژه ها:

Frame ، K-frame ، Dual K-frame.