Excess of continuous K-g-frames and some other properties
In this paper, we study the excess of continuous K-g-frames and give some results about this notion. Also, we extend the concept of atomic system to continuous version and study its relations by continuous K-g-frames. Indeed, we give some equivalent characterizations for continuous K-g-frames. As well as, the relationship of a continuous K-g-frame and the range of operator K will be verified. Finally, we study the induced cK-frames by continuous K-g-frames.
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