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.
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页码：315 / 318
页数：3
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