{"title":"Controlled Continuous \n ∗\n -\n K\n -\n g\n -Frames for Hilbert \n \n \n C\n \n \n ","authors":"A. Touri, H. Labrigui, M. Rossafi, S. Kabbaj","doi":"10.1155/2021/5548935","DOIUrl":null,"url":null,"abstract":"Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert - modules. In this paper, we define and study the new concept of controlled continuous - - - frames for Hilbert - modules and we establish some properties.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":"1-11"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/5548935","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert - modules. In this paper, we define and study the new concept of controlled continuous - - - frames for Hilbert - modules and we establish some properties.
期刊介绍:
Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.