Pelczynski's Property (V*) in Lipschitz-Free Spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00386087" target="_blank" >RIV/68407700:21240/25:00386087 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00025-025-02510-6" target="_blank" >https://doi.org/10.1007/s00025-025-02510-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00025-025-02510-6" target="_blank" >10.1007/s00025-025-02510-6</a>
Alternative languages
Result language
angličtina
Original language name
Pelczynski's Property (V*) in Lipschitz-Free Spaces
Original language description
We prove that Pelczynski's property (V*) is locally determined for Lipschitz-free spaces, and obtain several sufficient conditions for it to hold. We deduce that F(M) has property (V*) when the complete metric space M is locally compact and purely 1-unrectifiable, a Hilbert space, or belongs to a class of Carnot-Caratheodory spaces satisfying a bi-Holder condition, including Carnot groups.
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/GA22-32829S" target="_blank" >GA22-32829S: The structure of free Banach spaces and of their second duals</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Mathematics
ISSN
1422-6383
e-ISSN
1420-9012
Volume of the periodical
80
Issue of the periodical within the volume
7
Country of publishing house
CH - SWITZERLAND
Number of pages
33
Pages from-to
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UT code for WoS article
001567833300001
EID of the result in the Scopus database
2-s2.0-105016165833