Large separated sets of unit vectors in Banach spaces of continuous functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00506888" target="_blank" >RIV/67985840:_____/19:00506888 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10408147
Result on the web
<a href="http://dx.doi.org/10.4064/cm7648-1-2019" target="_blank" >http://dx.doi.org/10.4064/cm7648-1-2019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/cm7648-1-2019" target="_blank" >10.4064/cm7648-1-2019</a>

Result language
angličtina
Original language name
Large separated sets of unit vectors in Banach spaces of continuous functions
Original language description
The paper concerns the problem of whether a nonseparable C(K) space must contain a set of unit vectors whose cardinality equals the density of C(K), and such that the distances between any two distinct vectors are always greater than . We prove that this is the case if the density is at most gamma, and that for several classes of C(K) spaces (of arbitrary density) it is even possible to find such a set which is 2-equilateral, that is, the distance between two distinct vectors is exactly 2.
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/GJ17-04197Y" target="_blank" >GJ17-04197Y: Dynamical systems and Banach spaces</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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