Lipschitz-Free Spaces Over Ultrametric Spaces

被引：20

作者：

Cuth, Marek ^{[1
]}

Doucha, Michal ^{[1
]}

机构：

[1] Polskiej Akad Nauk, Inst Matemat, Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Lipschitz-free space; ultrametric space; Schauder basis;

D O I：

10.1007/s00009-015-0566-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the Lipschitz-free space over a separable ultrametric space has a monotone Schauder basis and is isomorphic to a"" (1). This extends results of A. Dalet using an alternative approach.

引用

页码：1893 / 1906

页数：14

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