{"title":"Block sequences of Retro Banach Frames","authors":"Narendra N. Jha, Shalu Sharma","doi":"10.46753/pjaa.2020.v07i02.010","DOIUrl":null,"url":null,"abstract":"Abstract. In this note, we introduce block sequences for a retro Banach frame and exhibit the existence with examples and counter examples. Also, we give a necessary and sufficient condition for a block sequence of a retro Banach frame to be a retro Banach frame. We give a condition (a necessary and sufficient) under which a block sequence of an exact retro Banach frame is an exact retro Banach frame. Finally, we discuss exact retro Banach frames and prove a result related to a geometric property of the underlying space.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2020.v07i02.010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract. In this note, we introduce block sequences for a retro Banach frame and exhibit the existence with examples and counter examples. Also, we give a necessary and sufficient condition for a block sequence of a retro Banach frame to be a retro Banach frame. We give a condition (a necessary and sufficient) under which a block sequence of an exact retro Banach frame is an exact retro Banach frame. Finally, we discuss exact retro Banach frames and prove a result related to a geometric property of the underlying space.
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