Surjective isometries on spaces of vector valued continuous and Lipschitz functions

被引：8

作者：

Botelho, Fernanda ^{[1
]}

Jamison, James ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

POSITIVITY | 2013年 / 17卷 / 03期

关键词：

Surjective isometries; Extreme points; Spaces of vector valued continuous functions; Spaces of vector valued Lipschitz functions; Semi-inner products; HERMITIAN OPERATORS;

D O I：

10.1007/s11117-012-0175-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For X a compact Hausdorff topological space and F a strictly convex and reflexive Banach space we characterize the surjective isometries of certain subspaces of C(X, F). It follows from this characterization that surjective isometries on spaces of vector valued Lipschitz functions equipped with a p-norm are also weighted composition operators.

引用

页码：395 / 405

页数：11

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