Hilbert空间中广义框架的Q-(近似)对偶  

Q-(Approximate)Dual of g-Frames in Hilbert Spaces

作　　者：张伟 付艳玲 李拴保 Zhang Wei;Fu Yanling;Li Shuanbao(School of Mathematics and Information Sciences,Henan University of Economics and Law,Zhengzhou 450046;School of Statistics and Mathematics,Henan Finance University,Zhengzhou 450046;School of Artificial Intelligence,Henan Finance University,Zhengzhou 450046)

机构地区：[1]河南财经政法大学数学与信息科学学院,郑州450046 [2]河南财政金融学院统计与数学学院,郑州450046 [3]河南财政金融学院人工智能学院,郑州450046

出　　处：《数学物理学报（A辑）》2022年第3期694-704,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(11761079);河南省高等学校重点科研项目(20A110013,21A110004);河南省科技攻关项目(182102210215,222102210335)~~。

摘　　要：该文融合Fusion对偶框架与近似对偶广义框架的思想,给出了Q-(近似)对偶广义框架的概念,讨论了Q-近似对偶广义框架与Q-对偶之间的关系,得到了Q-(近似)对偶广义框架的刻画.最后,借助Q-近似对偶广义框架,给出了一广义框架接近另一广义框架的若干等价条件.In this paper,fusing the ideas of dual Fusion frames and approximate dual gframes,the definitions of Q-(approximate)dual g-frames are given.The relationship between Q-approximate dual g-frames and Q-dual g-frames is discussed.The characterizations of Q-(approximate)dual g-frames are obtained.Finally,by means of Q-approximate dual g-frames,some equivalent conditions for a g-frame to be close to another g-frame are given.

关 键 词：广义框架 Q-(近似)对偶广义框架 接近 

分 类 号：O174.2[理学—数学]