Kakutani's theorem and Ramsey sets
IF 1.2
3区 数学
Q1 MATHEMATICS
Journal of Mathematical Analysis and Applications
Pub Date : 2025-05-05
DOI:10.1016/j.jmaa.2025.129644
引用次数: 0
Abstract
We give a short proof of Kakutani's theorem that every bounded sequence in a uniformly convex Banach space has a Cesàro summable subsequence. The proof is based on the Galvin–Prikry partition theorem on Ramsey sets.
角谷定理和拉姆齐集合
给出了一致凸Banach空间中每一个有界序列都有Cesàro可和子序列的一个简短证明。该证明基于Ramsey集合上的Galvin-Prikry划分定理。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
求助全文
约1分钟内获得全文
求助全文
来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
