论局部 C∗-代数上希尔伯特模块中的框架

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-11-28 DOI:10.28924/2291-8639-21-2023-130

Roumaissae El Jazzar, Rossafi Mohamed

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引用次数: 0

摘要

框架是向量空间研究中的一个基本概念；框架具有冗余性和灵活性，有利于其在数学各个领域的应用。本文旨在收集 Hibert pro-C∗ 模块中关于框架的重要结果：框架、∗-框架、∗-K-框架、g-框架、∗-框架、∗-K-框架、算子框架、∗-算子框架、∗-K-算子框架。我们还证明了一些新概念。

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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On Frames in Hilbert Modules Over Locally C∗-Algebras

Frame is a fundamental notion in the study of vector spaces; they offer redundancy and flexibility, which favor their application in various fields of mathematics. This article aims to collect important results of frames in Hibert pro-C∗-modules: Frame, ∗-frame, ∗-K-frame, g-frame, ∗-gframe, ∗-K-g-frame, operator frame, ∗-operator frame, ∗-K-operator frames. We also prove some new notions.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks