Some Remarks on Schauder Bases in Lipschitz Free Spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00344004" target="_blank" >RIV/68407700:21230/20:00344004 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21730/20:00344004
Result on the web
<a href="https://doi.org/10.36045/bbms/1590199307" target="_blank" >https://doi.org/10.36045/bbms/1590199307</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.36045/bbms/1590199307" target="_blank" >10.36045/bbms/1590199307</a>

Result language
angličtina
Original language name
Some Remarks on Schauder Bases in Lipschitz Free Spaces
Original language description
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 $M subseteq mathbb R^2$ such that $mathcal F(M)$ does not have a retractional Schauder basis. Furthermore, we show that for any net $Nsubseteqmathbb R^n, n >= 2$, there is no retractional unconditional basis on the Free space $mathcal F(N)$.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_026%2F0008432" target="_blank" >EF16_026/0008432: Cluster 4.0 - Methodology of System Integration</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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