Controlled K-g-Frames in Hilbert Spaces

@article{Hua2017ControlledKI,
  title={Controlled K-g-Frames in Hilbert Spaces},
  author={Dingli Hua and Yongdong Huang},
  journal={Results in Mathematics},
  year={2017},
  volume={72},
  pages={1227-1238}
}
Controlled frames have been introduced to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we introduce the concept of controlled K-g-frames, and make controlled g-frames as a special case of that. Then, we discuss characterizations of controlled K-g-frames, hash out equivalent conditions of them and show that controlled K-g-frames are equivalent to K-g-frames under some conditions. Finally, we propose several methods to construct… CONTINUE READING

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