| K-g-框架及其对偶 |
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| 引用本文： | 戴春年,冷劲松,何苗.K-g-框架及其对偶[J].数学学报,2021(2):243-254. |
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| 作者姓名： | 戴春年 冷劲松 何苗 |
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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： | 成都电子科技大学理科实力提升与拓展计划项目(Y0301902610100202)。 |
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| 摘 要： | 本文主要探讨K-g-框架及其对偶.首先讨论K-g-框架和g-框架的关系,然后给出一些充分条件,使得在此条件下K-g-框架与g-Bessel序列经过有界线性算子或非零复有界序列作用后的和仍然是K-g-框架.此外,又给出K-g-框架求和的两种特殊形式.最后,研究K-g-框架在闭子空间R(K)上的对偶,以及利用近似对偶构建K-g-框架的方法.
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| 关 键 词： | K-g-框架 和 对偶K-g-Bessel序列 近似对偶K-g-Bessel序列 |
K-g-frames and Their Duality |
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| Chun Nian DAI,Jin Song LENG,Miao HE.K-g-frames and Their Duality[J].Acta Mathematica Sinica,2021(2):243-254. |
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| Authors: | Chun Nian DAI Jin Song LENG Miao HE |
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| Institution: | (School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,P.R.China) |
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| Abstract: | We mainly discuss K-g-frames and its duality.First,we explore the relationship between K-g-frames and g-frames.Then,we give some sufficient conditions under which the sum of K-g-frames and g-Bessel sequences with bounded linear operator or nonzero complex bounded sequence is still K-g-frames.In addition,we also give two special forms about the sum of K-g-frames.Finally,we research the duality of K-g-frames in closed subspace R(K),and the ways of constructing the K-g-frames by using the approximate duality. |
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| Keywords: | K-g-frames sum dual K-g-Bessel sequence approximate dual K-g-Bessel sequence |
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