Controlled K-g-Frames in Hilbert Spaces
Controlled K-g-Frames in Hilbert Spaces
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DOI：
10.1007/s00025-016-0613-0
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发表时间：
2017-11
影响因子：
2.2
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
控制框架已被引入，以提高数值效率的迭代算法反演的框架运营商。本文引入了受控K-g-框架的概念，并将受控g-框架作为其特例。然后讨论了受控K-g-框架的特征，给出了它们的等价条件，并证明了受控K-g-框架在一定条件下等价于K-g-框架。最后，我们提出了几种构造受控K-g-框架的方法。
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 controlledK-g-frames, and make controlled g-frames as a special case of that. Then, we discuss characterizations of controlledK-g-frames, hash out equivalent conditions of them and show that controlledK-g-frames are equivalent toK-g-frames under some conditions. Finally, we propose several methods to construct controlledK-g-frames.