Q-duals and Q-approximate duals of g-frames in Hilbert spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-02-27 DOI:10.1080/01630563.2023.2184383

Xiangchun Xiao, G. Zhao, Guorong Zhou

引用次数: 0

Abstract

Abstract In this paper we mainly discuss the properties of Q-duals and Q-approximate duals of g-frames in Hilbert spaces. Given and being a pair of Q-dual, being some kind of perturbed sequence of in general is not a Q-approximate dual of We then give four different kinds of perturbed conditions such that and a perturbed sequence of are possible to be a pair of Q-approximate dual. We also provide several different methods to construct Q-duals and Q-approximate duals of g-frames. Finally, we give two equivalent characterizations of Q-duals and Q-approximate duals by using the associated induced sequences.

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Hilbert空间中g坐标系的q -对偶和q -近似对偶

摘要本文主要讨论Hilbert空间中g-框架的Q-对偶和Q-近似对偶的性质。给定和是一对Q-对偶，作为的某种扰动序列通常不是的Q-近似对偶。然后我们给出了四种不同的扰动条件，使得和的扰动序列可能是一对Q近似对偶。我们还提供了几种不同的方法来构造g框架的Q对偶和Q近似对偶。最后，利用关联诱导序列给出了Q对偶和Q近似对偶的两个等价刻画。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.