{"title":"上巴拿赫密度定理的组合证明","authors":"Boxu Huang","doi":"10.1007/s40840-024-01671-x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we introduce a combinatorial proof approach for a theorem regarding the upper Banach density of a subset <i>S</i> of <span>\\({\\mathbb {N}}\\)</span> and present a finite IP-set revision of the theorem originally established by Li, Tu, and Ye.</p>","PeriodicalId":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"144 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combinational Proof for a Theorem Concerning the Upper Banach Density\",\"authors\":\"Boxu Huang\",\"doi\":\"10.1007/s40840-024-01671-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we introduce a combinatorial proof approach for a theorem regarding the upper Banach density of a subset <i>S</i> of <span>\\\\({\\\\mathbb {N}}\\\\)</span> and present a finite IP-set revision of the theorem originally established by Li, Tu, and Ye.</p>\",\"PeriodicalId\":50718,\"journal\":{\"name\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"volume\":\"144 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40840-024-01671-x\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Malaysian Mathematical Sciences Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40840-024-01671-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文介绍了关于 \({\mathbb {N}}\) 子集 S 的上巴纳赫密度定理的组合证明方法，并提出了对最初由 Li、Tu 和 Ye 建立的定理的有限 IP 集修正。
Combinational Proof for a Theorem Concerning the Upper Banach Density
In this paper, we introduce a combinatorial proof approach for a theorem regarding the upper Banach density of a subset S of \({\mathbb {N}}\) and present a finite IP-set revision of the theorem originally established by Li, Tu, and Ye.
期刊介绍：
This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
