关于乘法器空间的几何

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2021-11-03 DOI:10.1515/conop-2022-0126

Christopher Felder, R. Cheng

{"title":"关于乘法器空间的几何","authors":"Christopher Felder, R. Cheng","doi":"10.1515/conop-2022-0126","DOIUrl":null,"url":null,"abstract":"Abstract For p ∈ (1, ∞) \\ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp. It is also shown that the extremal multipliers on the ℓpA spaces are exactly the monomials, in stark contrast to the p = 2 case.","PeriodicalId":53800,"journal":{"name":"Concrete Operators","volume":"9 1","pages":"41 - 52"},"PeriodicalIF":0.3000,"publicationDate":"2021-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the geometry of the multiplier space of ℓpA\",\"authors\":\"Christopher Felder, R. Cheng\",\"doi\":\"10.1515/conop-2022-0126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract For p ∈ (1, ∞) \\\\ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp. It is also shown that the extremal multipliers on the ℓpA spaces are exactly the monomials, in stark contrast to the p = 2 case.\",\"PeriodicalId\":53800,\"journal\":{\"name\":\"Concrete Operators\",\"volume\":\"9 1\",\"pages\":\"41 - 52\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Concrete Operators\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/conop-2022-0126\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Concrete Operators","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/conop-2022-0126","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要对于p∈(1，∞)\{2}，导出了乘法器在l pA上的空间p的一些性质。特别地，证明了弱平行四边形定律和毕达哥拉斯不等式的失效。我们还证明了，与p = 2的情况形成鲜明对比的是，在lpa空间上的极值乘数恰好是单项式。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the geometry of the multiplier space of ℓpA

Abstract For p ∈ (1, ∞) \ {2}, some properties of the space ℳp of multipliers on ℓpA are derived. In particular, the failure of the weak parallelogram laws and the Pythagorean inequalities is demonstrated for ℳp. It is also shown that the extremal multipliers on the ℓpA spaces are exactly the monomials, in stark contrast to the p = 2 case.

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