Statistical Convergence and Measure Convergence Generated by a Single Statistical Measure

被引：0

作者：

Li Xin CHENG ^{[1
]}

Li Hua LIN ^{[2
]}

Xian Geng ZHOU ^{[3
]}

机构：

[1] School of Mathematical Sciences, Xiamen University

[2] Institute of Mathematical and Information Engineering, Sanming University

[3] Department of Mathematics, Ningde Normal

来源：

Acta Mathematica Sinica | 2016年 / 32卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

摘要：

The purpose of this paper is to discuss those kinds of statistical convergence,in terms of filter F,or ideal L-convergence,which are equivalent to measure convergence defined by a single statistical measure.We prove a number of characterizations of a single statistical measure μ-convergence by using properties of its corresponding quotient Banach space l∞/l∞（Iμ）.We also show that the usual sequential convergence is not equivalent to a single measure convergence.

引用

页码：668 / 682

页数：15

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