Surjective isometrics on the vector-valued differentiable function spaces

被引：9
|
作者：
Li, Lei [1 ]
Wang, Risheng
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 427卷 / 02期
关键词：
Isometrics; Extreme points; Differentiable functions;
D O I：
10.1016/j.jmaa.2015.02.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the surjective linear isometrics between the differentiable function spaces C-0(n)(Omega, E) and C-0(m)(Sigma, F) (where Omega, Sigma are open subsets of Euclidean spaces and E, F are reflexive, strictly convex Banach spaces), and show that such isometrics can be written as weighted composition operators. (C) 2015 Elsevier Inc. All rights reserved.
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页码：547 / 556
页数：10
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