On the weak∗ separability of the space of Lipschitz functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10511054" target="_blank" >RIV/00216208:11320/25:10511054 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.gNTerLK~f" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.gNTerLK~f</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2025.110925" target="_blank" >10.1016/j.jfa.2025.110925</a>

Result language
angličtina
Original language name
On the weak∗ separability of the space of Lipschitz functions
Original language description
We conjecture that whenever M is a metric space of density at most continuum, then the space of Lipschitz functions is w & lowast;- separable. We prove the conjecture for several classes of metric spaces including all the Banach spaces with a projectional skeleton, Banach spaces with a w & lowast;-separable dual unit ball and locally separable complete metric spaces. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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