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On K-duality and redundancy of K-g-frames

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Abstract

In this paper, we give some necessary and sufficient conditions for a family of linear bounded operators to be a dual K-g-Bessel sequence of a given K-g-frame and, particularly, we determine a method to examine the uniqueness of the dual K-g-Bessel sequences associated with a K-g-frame. We also study the redundancy of K-g-frames and some new properties of exact K-g-frames are presented.

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Acknowledgements

The research is supported by the Science Foundation of Jiangxi Education Department (Grant Nos. GJJ202302 and GJJ190886).

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  1. College of Mathematics and Computer, Xinyu University, Xinyu, 338004, Jiangxi, People’s Republic of China

    Zhong-Qi Xiang

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  1. Zhong-Qi Xiang
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Correspondence to Zhong-Qi Xiang.

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Xiang, ZQ. On K-duality and redundancy of K-g-frames. Ricerche mat 73, 323–339 (2024). https://doi.org/10.1007/s11587-021-00600-5

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  • DOI: https://doi.org/10.1007/s11587-021-00600-5

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