Controlled Frame for Operator in Hilbert c ∗ -Modules

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-01-01 DOI:10.1155/2022/7296689

H. Labrigui, A. Touri, M. Rossafi, S. Kabbaj

引用次数: 0

Abstract

In this study, we will introduce a new concept, which is a controlled K-operator frame for the space of all adjointable operators on a Hilbert A-module H which denoted EndA(H), where A is a C ∗-algebra. Also, we establish some results of the controlled K-operator frame in EndA(H). (e presented results are new and of interest for people working in this area. Some illustrative examples are provided to advocate the usability of our results.

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Hilbert c * -模中算子的控制框架

在本研究中，我们将引入一个新概念，即Hilbert a模H上所有可伴算子空间的控制k算子框架，该空间记为EndA(H)，其中a是C * -代数。此外，我们还建立了EndA(H)中控制k算子框架的一些结果。我们提出的结果是新的，并对在这个领域工作的人感兴趣。提供了一些说明性的例子来宣传我们的结果的可用性。

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

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.