The condition of uniqueness dual for frames and K-frames

Frames in Hilbert spaces are a redundant of vectores which yield a representation for each vector in the space. K-frames were recently introduced by G˘avru¸ta in Hilbert spaces. They respect to a bounded linear operator K. In this paper, we will present some conditions of uniqueness dual frame and dual K-frame in cases.

Keywords:

Frame , K-frame , Dual K-frame , K-minimal frame , Uniqueness.