On the Sum of K-Frames in Hilbert Spaces

Abstract. In recent years, K-frame was presented to reconstruct elements from the range of a bounded linear operator K in a separable Hilbert space. K-frames are more generalization than the ordinary frames and many properties of ordinary frames may not holds for such generalization of frames. In this paper, we obtain some sufficient conditions for the finite sum of K-frames to be a K۲-frame. Keywords: Frames, K-frames, Bessel sequence, Sum.