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On K-duality and redundancy of K-g-frames
Ricerche di Matematica ( IF 1.1 ) Pub Date : 2021-06-07 , DOI: 10.1007/s11587-021-00600-5
Zhong-Qi Xiang

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.



中文翻译:

关于 Kg 帧的 K 对偶性和冗余

在本文中,我们给出了一系列线性有界算子成为给定K -g-frame 的对偶K -g-Bessel 序列的一些必要和充分条件,特别是,我们确定了一种方法来检查与K -g-frame相关联的双K -g-Bessel 序列。我们还研究了K -g-frames的冗余,并展示了精确K - g-frames 的一些新特性。

更新日期:2021-06-07
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