K-G-FRAMES AND STABILITY OF K-G-FRAMES IN HILBERT SPACES
K-G-FRAMES AND STABILITY OF K-G-FRAMES IN HILBERT SPACES
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DOI：
10.4134/jkms.j150499
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发表时间：
2016-11
影响因子：
0.6
通讯作者：
Dingli Hua;Yongdong Huang
中科院分区：
文献类型：
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作者：
Dingli Hua;Yongdong Huang
. K-g-框架是g-框架的推广。它可以用来从Hilbert空间中有界线性算子K的值域重构元素。k-g-框架在实际应用中比g-框架有一定的优势。本文讨论了两个g-Bessel序列关于不同于g-标架的K-g-标架的可扩性。本文还提出了K-g-框架的几种构造方法。最后，利用框架理论的方法和技巧，得到了K-g-框架稳定性的几个结果。
. A K -g-frame is a generalization of a g-frame. It can be used to reconstruct elements from the range of a bounded linear operator K in Hilbert spaces. K -g-frames have a certain advantage compared with g-frames in practical applications. In this paper, the interchangeability of two g-Bessel sequences with respect to a K -g-frame, which is different from a g-frame, is discussed. Several construction methods of K -g-frames are also proposed. Finally, by means of the methods and techniques in frame theory, several results of the stability of K -g-frames are obtained.