ON THE CONSTANT OF LIPSCHITZ APPROXIMABILITY

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00379052" target="_blank" >RIV/68407700:21230/24:00379052 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/tran/9110" target="_blank" >https://doi.org/10.1090/tran/9110</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/tran/9110" target="_blank" >10.1090/tran/9110</a>

Result language
angličtina
Original language name
ON THE CONSTANT OF LIPSCHITZ APPROXIMABILITY
Original language description
In this note we find lambda > 1 and give an explicit construction of a separable Banach space X such that there is no lambda-Lipschitz retraction from X onto any compact convex subset of X whose closed linear span is X. This is closely related to a well-known open problem raised by Godefroy and Ozawa in 2014 and represents the first known example of a Banach space with such a property.
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/GA23-04776S" target="_blank" >GA23-04776S: Interplay of algebraic, metric, geometric and topological structures on Banach spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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