Abstract
K-g-frames are a generalization of g-frames that have better advantages in practical applications than g-frames. In this paper, we focus on the constructions of K-g-frames for Hilbert spaces by certain operators with specific properties, while starting with a given K-g-frame or just a g-Bessel sequence. In addition, two recent concepts about linear operators are used to construct K-g-frames, which differ from existing methods. Also, we generalize some of the known results in frame theory to K-g-frames and present some necessary conditions for K-g-frames.
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