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).
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页码：111 / 126
页数：16
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