Some Remarks on Schauder Bases in Lipschitz Free Spaces

被引：0

作者：

Novotny, Matej ^{[1
,2
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Jugoslavskych Partyzanu 1580-3, Prague 16000, Czech Republic

[2] Czech Tech Univ, Czech Inst Informat Robot & Cybernet, Dept Ind Informat, Jugoslavskych Partyzanu 1580-3, Prague 16000, Czech Republic

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2020年 / 27卷 / 01期

关键词：

Lipschitz-free space; Schauder basis; extension operator; unconditionality; APPROXIMATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the basis constant of every retractional Schauder basis on the Free space of a graph circle increases with the radius. As a consequence, there exists a uniformly discrete subset M subset of R-2 such that F(M) does not have a retractional Schauder basis. Furthermore, we show that for any net N subset of R-n, n >=( )2, there is no retractional unconditional basis on the Free space F(N).

引用

页码：111 / 126

页数：16

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