ON SUBSEQUENTIAL AVERAGES OF SEQUENCES IN BANACH SPACES

被引：0

作者：

O'Brien, Morgan ^{[1
]}

机构：

[1] North Dakota State Univ, Dept Math, 1210 Albrecht Blvd,Minard Hall, Fargo, ND 58102 USA

来源：

REAL ANALYSIS EXCHANGE | 2023年 / 48卷 / 02期

关键词：

Banach Spaces; Cesaro Averages; Subsequential Limit Points;

D O I：

10.14321/realanalexch.48.2.1665637941

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a sequence in a Banach space X, it is known that the set of sub-sequential limits of the sequence forms a closed subset of X. Similarly, if the sequence is convergent, then the sequence of its Ces`aro averages also converge to the same value. In this article, we study the properties of the set of Ces`aro limits of subsequences of a given sequence in a Banach space using techniques from ergodic theory.

引用

页码：341 / 349

页数：9