Some Properties of lp (A, X) Spaces

被引：2
|
作者：
Fu, Xiaohong [1 ]
Li, Songxiao [1 ]
机构：
[1] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2009年
关键词：
UNIT-SPHERE; ISOMETRIES;
D O I：
10.1155/2009/562507
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a representation of elements of the space l(p) (A, X) for a locally convex space X and 1 <= p < infinity and determine its continuous dual for normed space X and 1 < p < infinity. In particular, we study the extension and characterization of isometries on l(p) (N, X) space, when X is a normed space with an unconditional basis and with a symmetric norm. In addition, we give a simple proof of the main result of G. Ding (2002).
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页数：8
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