Approximation properties and Schauder decompositions in Lipschitz-free spaces

被引：33

作者：

Lancien, G. ^{[1
]}

Pernecka, E. ^{[1
,2
,3
]}

机构：

[1] Univ Franche Comte, Lab Math, UMR 6623, F-25030 Besancon, France

[2] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Prague 18675 8, Czech Republic

[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 264卷 / 10期

关键词：

Lipschitz-free spaces; Approximation property; Schauder decompositions;

D O I：

10.1016/j.jfa.2013.02.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over l(1)(N) or l(1) have monotone finite-dimensional Schauder decompositions. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：2323 / 2334

页数：12

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