Controlled K-g-Frames in Hilbert Spaces

Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we introduce the concept of controlled K-g-frames, and make controlled g-frames as a special case of that. Then, we discuss characterizations of controlled K-g-frames, hash out equivalent conditions of them and show that controlled K-g-frames are equivalent to K-g-frames under some conditions. Finally, we propose several methods to construct controlled K-g-frames.