Controlled g-frames and dual g-frames in Hilbert spaces

被引：0

作者：

Liu, Hui-Min ^{[1
]}

Fu, Yan-Ling ^{[2
]}

Tian, Yu ^{[3
]}

机构：

[1] Zhengzhou Shengda Univ, Inst Appl Math, Zhengzhou 451191, Henan, Peoples R China

[2] Henan Finance Univ, Sch Stat & Math, Zhengzhou 450000, Henan, Peoples R China

[3] Zhengzhou Univ Light Ind, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

G-frames; Controlled g-frames; Controlled dual g-frames; FUSION FRAMES; MULTIPLIERS;

D O I：

10.1186/s13660-023-02972-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled g-frames and dual g-frames in Hilbert spaces. We first present some equivalent characterizations of controlled g-frames. Then, we introduce the concepts of controlled dual g-frames and controlled dual g-frames operator, get some properties of them. Finally, we obtain some characterizations of the controlled dual g-frames for a given controlled g-frame by the method of operator theory.

引用

页数：14

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