Schauder bases in Lipschitz free spaces over nets of L∞-spaces

被引：0

作者：

Hajek, Petr ^{[1
]}

Medina, Ruben ^{[1
,2
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Tech 2, Prague 16627 6, Czech Republic

[2] Univ Granada, Fac Ciencias, Dept Anal Matemat, Granada 18071, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 01期

关键词：

Lipschitz retractions; Approximation properties;

D O I：

10.1007/s13398-022-01363-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present note, we give a construction (based on a retractional argument) of a Schauder basis for the Lipschitz free space F(N) over a net N in any separable infinite dimensional L-infinity-space X. In particular, this yields the first example of an infinite dimensional Banach space X not containing c(0) with such a property.

引用

页数：22

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