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چکیده
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In this study, we aim to provide results on generalized frames, i.e., g-frames and K-g-frames in Hilbert spaces. We first prove results on g-frames. As a result, we show that every g-Bessel sequence for a Hilbert space H can be extended to a tight g-frame for H. Also, we provide sufficient conditions under which the sum of two g-frames is a g-frame. Next, some results on K-g-frames are derived. Since similar to g-frames, in general, the sum of two K-g-frames for a Hilbert space H is not a K-g-frame, sufficient conditions under which the sum of two K-g-frames to be a K-g-frame are obtained
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