On vector-valued Banach limits

被引：0

作者：

R. Armario

F. J. García-Pacheco

F. J. Pérez-Fernández

机构：

[1] University of Cadiz,Department of Mathematics

来源：

Functional Analysis and Its Applications | 2013年 / 47卷

关键词：

Banach limit; almost convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this brief communication we propose a vector-valued version of Lorentz’ intrinsic characterization of almost convergence, for which we find a legitimate extension of the concept of Banach limit to vector-valued sequences. Banach spaces 1-complemented in their biduals admit vector-valued Banach limits, whereas c0 does not.

引用

页码：315 / 318

页数：3