| Hilbert空间中连续广义标架的和 |
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| 引用本文： | 张伟,周静.Hilbert空间中连续广义标架的和[J].浙江大学学报(理学版),2021,48(1):30-34. |
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| 作者姓名： | 张伟 周静 |
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| 作者单位： | 河南财经政法大学 数学与信息科学学院，河南 郑州 450046 |
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| 基金项目： | 国家自然科学基金资助项目(11761079)；河南省高等学校重点科研项目(20A110013，21A110004). |
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| 摘 要： | 基于Hilbert空间标架理论，借助算子工具，用己有连续广义标架构造了新连续广义标架，并给出了有限个连续广义标架和构成新连续广义标架的充要条件，为构造连续广义标架提供了新方法。
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| 关 键 词： | 标架 算子 连续广义标架 广义标架 |
| 收稿时间： | 2019-12-23 |
Some results on continuous generalized frames in Hilbert spaces |
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| ZHANG Wei,ZHOU Jing.Some results on continuous generalized frames in Hilbert spaces[J].Journal of Zhejiang University(Sciences Edition),2021,48(1):30-34. |
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| Authors: | ZHANG Wei ZHOU Jing |
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| Institution: | School of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou 450046, China |
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| Abstract: | Based on the frame theorem of Hilbert spaces,a large number of continuous generalized frames are constructed from existing continuous generalized frames by adopting operator methods.Moreover,a necessary and sufficient condition for the finite sum of continuous generalized frames to be a continuous generalized frame is obtained.The results provide new methods to construct continuous generalized frames. |
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| Keywords: | frames generalized frames continuous generalized frames operator |
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