K-g-fusion frames in Hilbert spaces

Abstract K-g-fusion frames are generalizations of fusion frames, K-fusion frames and g-fusion frames. In this paper, we present some new characterizations of K-g-fusion frames and tight K-g-fusion frames, and give several properties of K-g-fusion frames by means of the methods and techniques in frame and operator theories. Then, we discuss the redundancy of K-g-fusion frames. Finally, we discuss the stability of K-g-fusion frames.