逆Banach框架的块序列

Poincare Journal of Analysis and Applications Pub Date : 2020-12-30 DOI:10.46753/pjaa.2020.v07i02.010

Narendra N. Jha, Shalu Sharma

{"title":"逆Banach框架的块序列","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":"{\"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}","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

摘要

摘要在本文中，我们引入了逆Banach框架的块序列，并通过实例和反例证明了它的存在性。同时，我们给出了逆Banach框架的块序列为逆Banach帧的一个充要条件。我们给出了一个条件（一个充要条件），在这个条件下，一个精确逆Banach框架的块序列是一个精确反Banach框架。最后，我们讨论了精确的逆Banach框架，并证明了一个与底层空间的几何性质有关的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Block sequences of Retro Banach Frames

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量