| K-g-框架的稳定性与不等式 |
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| 引用本文： | 戴春年,冷劲松.K-g-框架的稳定性与不等式[J].数学的实践与认识,2021(6):206-216. |
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| 作者姓名： | 戴春年 冷劲松 |
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| 作者单位： | 电子科技大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(LJT10110010115)。 |
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| 摘 要： | K-g-框架是将算子K引入到g-框架中的一种特殊框架.采用泛函分析中的技巧和方法,研究K-g-框架的稳定性,并得到了四个K-g-框架在扰动情况下稳定的充分条件.此外,结合算子K和框架算子S衍生出K-g-框架的三个等式,并通过引入参数λ建立关于K-g-框架的一些不等式.
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| 关 键 词： | K-g-框架 稳定性 等式 不等式 |
The Stability and Inequalities of K-g-frames |
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| DAI Chun-nian,LENG Jin-song.The Stability and Inequalities of K-g-frames[J].Mathematics in Practice and Theory,2021(6):206-216. |
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| Authors: | DAI Chun-nian LENG Jin-song |
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| Institution: | (School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China) |
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| Abstract: | K-g-frames are special frames which introduce operator K into g-frames.In this paper,the technique and method of functional analysis are used to study the stability of Kg-frames,and four sufficient conditions for the stability of K-g-frames under perturbations are obtained.In addition,three equations of K-g-frames are derived by using the partition of operator K and frame operator S,and some inequalities about K-g-frames are established by introducing parameter λ. |
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| Keywords: | K-g-frames stability equations inequalities |
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