ZHANG Wei, FU Yanling. Sums of K-g-frames in Hilbert Space[J]. Journal of Beijing University of Technology, 2017, 43(8): 1283-1288. DOI: 10.11936/bjutxb2016040081
    Citation: ZHANG Wei, FU Yanling. Sums of K-g-frames in Hilbert Space[J]. Journal of Beijing University of Technology, 2017, 43(8): 1283-1288. DOI: 10.11936/bjutxb2016040081

    Sums of K-g-frames in Hilbert Space

    • 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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