Hilbert空间中g坐标系的q -对偶和q -近似对偶

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-02-27 DOI:10.1080/01630563.2023.2184383

Xiangchun Xiao, G. Zhao, Guorong Zhou

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引用次数: 0

摘要

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。

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

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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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.