{"title":"关于非局部凸BANACH空间中框架的一个注记","authors":"J. L. Ghimire, Teena Kohli, N. Pahari","doi":"10.46753/pjaa.2023.v010i01.004","DOIUrl":null,"url":null,"abstract":". Shrinking atomic decompositions in locally convex Banach spaces were studied by Carando and Lassalle [2]. In this paper, we define strongly shrinking atomic decompositions in p -Banach spaces and give necessary and sufficient condition for atomic decomposition to be shrinking and boundedly complete.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NOTE ON FRAMES IN NON-LOCALLY CONVEX BANACH SPACES\",\"authors\":\"J. L. Ghimire, Teena Kohli, N. Pahari\",\"doi\":\"10.46753/pjaa.2023.v010i01.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Shrinking atomic decompositions in locally convex Banach spaces were studied by Carando and Lassalle [2]. In this paper, we define strongly shrinking atomic decompositions in p -Banach spaces and give necessary and sufficient condition for atomic decomposition to be shrinking and boundedly complete.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"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.2023.v010i01.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A NOTE ON FRAMES IN NON-LOCALLY CONVEX BANACH SPACES
. Shrinking atomic decompositions in locally convex Banach spaces were studied by Carando and Lassalle [2]. In this paper, we define strongly shrinking atomic decompositions in p -Banach spaces and give necessary and sufficient condition for atomic decomposition to be shrinking and boundedly complete.