ON WEAVING FRAMES IN HILBERT SPACES

被引：1

作者：

Li, Dongwei ^{[1
]}

Jiang, Jing ^{[1
]}

Xu, Yuxiang ^{[2
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

来源：

OPERATORS AND MATRICES | 2023年 / 17卷 / 03期

关键词：

Frames; weaving frames; Hilbert space; perturbation; TIGHT FRAMES; SIGNALS;

D O I：

10.7153/oam-2023-17-53

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some new properties of weaving frames and present some conditions under which a family of frames is woven in Hilbert spaces. Some characterizations of weaving frames in terms of operators are given. We also give a condition associated with synthesis operators of frames such that the sequence of frames is woven. Finally, for a family of woven frames, we show that they are stable under invertible operators and small perturbations.

引用

页码：809 / 822

页数：14

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