{"title":"Controlled Frame for Operator in Hilbert c ∗ -Modules","authors":"H. Labrigui, A. Touri, M. Rossafi, S. Kabbaj","doi":"10.1155/2022/7296689","DOIUrl":null,"url":null,"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.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2022/7296689","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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