{"title":"On Frames in Hilbert Modules Over Locally C∗-Algebras","authors":"Roumaissae El Jazzar, Rossafi Mohamed","doi":"10.28924/2291-8639-21-2023-130","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"26 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-130","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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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