REMARKS ON THE POINT CHARACTER OF BANACH SPACES AND NON-LINEAR EMBEDDINGS INTO c0(r)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00389449" target="_blank" >RIV/68407700:21230/25:00389449 - isvavai.cz</a>
Result on the web
<a href="http://yokohamapublishers.jp/online2/oppafa/vol10/p811.html" target="_blank" >http://yokohamapublishers.jp/online2/oppafa/vol10/p811.html</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
REMARKS ON THE POINT CHARACTER OF BANACH SPACES AND NON-LINEAR EMBEDDINGS INTO c0(r)
Original language description
We give a brief survey of the results on coarse or uniform embeddings of Banach spaces into c₀(Γ) and the point character of Banach spaces. In the process we prove several new results in this direction (for example we determine the point character of the spaces Lp(μ), 1 <= p <= 2) solving open problems posed by C. Avart, P. Komjáth, and V. Rödl and by G. Godefroy, G. Lancien, and V. Zizler. In particular, we show that X = Lp(μ), 1 <= p < infinity, bi-Lipschitz embeds into c₀(Γ) if and only if dens X < ω_ω.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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