Redundancy, weaving and Q-dual of K-g-frames in Hilbert spaces

In this paper we study exact K-g-frames, weaving of K-g-frames and Q-duals of g-frames in Hilbert spaces. We present a sufficient condition for a g-Bessel sequence to be an exact K-g-frame. Given two woven pairs (A, F) and (e, A) of K-g-frames, we investigate under what conditions A can be K-g-woven with A if F is K-g-woven with e. Given a K-g-frame A and its dual F on U, we construct a new pair based on A and F so that they are woven on a subspace R(K) of U. Finally, we characterize the Q-dual of g-frames using their induced sequences.