希尔伯特空间中的编织g融合框架

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-08-01 DOI:10.22130/SCMA.2021.137940.870

Maryam Mohammadrezaee, M. Rashidi-Kouchi, A. Nazari, A. Oloomi

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引用次数: 1

摘要

本文引入了Hilbert空间中编织g融合框架的概念。然后，从Hilbert空间的编织框架出发，给出了编织g融合框架存在的充分条件。我们将标准编织框架和编织融合框架的一些最新成果扩展到编织g融合框架。此外，我们还研究了编织g融合框架的微扰。

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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Woven g-Fusion Frames in Hilbert Spaces

In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.

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Communications in Mathematical Analysis Mathematics-Applied Mathematics

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