Local dual spaces of Banach spaces of vector-valued functions

被引：5
|
作者：
González, M [1 ]
Martínez-Abejón, A
机构：
[1] Univ Cantabria, Fac Ciencias, Dept Matemat, E-39071 Santander, Spain
[2] Univ Oviedo, Fac Ciencias, Dept Matemat, E-33007 Oviedo, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 11期
关键词：
local dual space; local reflexivity; norming subspace; Banach spaces of vector-valued functions;
D O I：
10.1090/S0002-9939-02-06626-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that L-infinity(mu, X*) is a local dual of L-1(mu, X), and L-1(mu, X*) is a local dual of L-infinity(mu, X), where X is a Banach space. A local dual space of a Banach space Y is a subspace Z of Y* so that we have a local representation of Y* in Z satisfying the properties of the representation of X** in X provided by the principle of local reflexivity.
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页码：3255 / 3258
页数：4
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