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.

引用

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页码：547 / 556

页数：10

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