为了研究Hilbert空间中有限个K-g-框架的和,基于Hilbert空间中通常的框架理论,利用K-g-框架诱导出的K-框架和K-g-框架的框架算子的方法,得到一些由有限个K-g-框架的和构成的K-g-框架充分条件,这样可以利用已有的K-g-框架构造出新的K-g-框架.%Based on the frame theorem of Hilbert spaces and by using the method of K-g-frames induced K-frames and K-g-frames operators, the sum of finitely many K-g-frames was addressed, and some sufficient conditions for the sum of finitely many K-g-frames was obtained to be a K-g-frame. The results provide us with a new method to construct K-g-frames.
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