Schauder bases in Lipschitz free spaces over nets of Linfinity-spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00362239" target="_blank" >RIV/68407700:21230/23:00362239 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-022-01363-w" target="_blank" >https://doi.org/10.1007/s13398-022-01363-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-022-01363-w" target="_blank" >10.1007/s13398-022-01363-w</a>
Alternative languages
Result language
angličtina
Original language name
Schauder bases in Lipschitz free spaces over nets of Linfinity-spaces
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
ISSN
1578-7303
e-ISSN
1579-1505
Volume of the periodical
117
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
22
Pages from-to
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UT code for WoS article
000889066900005
EID of the result in the Scopus database
2-s2.0-85142607590