Combinational Proof for a Theorem Concerning the Upper Banach Density

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-03-20 DOI:10.1007/s40840-024-01671-x

Boxu Huang

引用次数: 0

Abstract

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.

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上巴拿赫密度定理的组合证明

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

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.