Abstract
In this paper, we intend to introduce the concept of c-K-g-frames, which are the generalization of K-g-frames. In addition, we prove some new results on c-K-g-frames in Hilbert spaces. Moreover, we define the related operators of c-K-g-frames. Then, we give necessary and sufficient conditions on c-K-g-frames to characterize them. Finally, we verify the perturbation of c-K-g-frames.
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Acknowledgements
The authors would like to thank Professor M. H. Faroughi for his comments and suggestions. We express also our special thanks to the reviewers due to their helpful comments for improving paper.
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Communicated by Ali Ghaffari.
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Alizadeh, E., Rahimi, A., Osgooei, E. et al. Continuous K-g-Frames in Hilbert Spaces. Bull. Iran. Math. Soc. 45, 1091–1104 (2019). https://doi.org/10.1007/s41980-018-0186-7
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DOI: https://doi.org/10.1007/s41980-018-0186-7