| Hilbert空间连续K－框架的冗余与扰动性 |
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| 引用本文： | 范丽兰,舒志彪.Hilbert空间连续K－框架的冗余与扰动性[J].福州大学学报(自然科学版),2016,44(1):6-11. |
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| 作者姓名： | 范丽兰 舒志彪 |
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| 作者单位： | 福州大学数学与计算机科学学院，福建 福州 350116,福州大学数学与计算机科学学院，福建 福州 350116 |
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| 基金项目： | 福建省自然科学基金资助项目(2012J01005)；天元基金(11226099)；福州大学科技发展基金(2012-XQ-29) . 通讯作者：舒志彪(1958- ),副教授,E-mail: szb@fzu.edu.cn |
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| 摘 要： | 基于连续K-框架的定义,给出了Hilbert空间连续K-框架的两个等价刻画.在连续K-框架中挖去部分元素还构成连续K-框架的两个充分条件和不构成连续K-框架的一个充分条件,利用合成算子和两个连续Bessel映射的有界线性算子SF,G去刻画连续K-框架.最后讨论Hilbert空间连续K-框架的扰动.
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| 关 键 词： | 连续K-框架 框架 冗余 扰动 |
| 修稿时间： | 7/4/2013 12:00:00 AM |
Excess and perturbation of continuous K- frames in Hilbert spaces |
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| FAN Lilan and SHU Zhibiao.Excess and perturbation of continuous K- frames in Hilbert spaces[J].Journal of Fuzhou University(Natural Science Edition),2016,44(1):6-11. |
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| Authors: | FAN Lilan and SHU Zhibiao |
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| Institution: | College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian,350108,China |
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| Abstract: | In this paper, we propose two kinds of equivalent characterizations for continuous K-frames. We also give two sufficient conditions for the remainder of a continuous K-frame after deleting some elements to be a continuous K-frame and a sufficient condition for the remainder to be not a continuous K-frame. We characterize the continuous K-frames by the synthesis operator and a bounder operator SF,G associated with two continuous Bessel mappings. Finally, we discuss the perturbation of continuous K-frames in Hilbert spaces. |
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| Keywords: | ContinuousK- frame K-frame Excess Perturbation |
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