A note on symmetric separation in Banach spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00334751" target="_blank" >RIV/68407700:21230/19:00334751 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-019-00722-4" target="_blank" >https://doi.org/10.1007/s13398-019-00722-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-019-00722-4" target="_blank" >10.1007/s13398-019-00722-4</a>
Alternative languages
Result language
angličtina
Original language name
A note on symmetric separation in Banach spaces
Original language description
We present some new results on the symmetric Kottman constant Ks (X) of a Banach space X and its relationship with the Kottman constant. We show that Ks (X) > 1, for every infinite-dimensional Banach space, thereby solving a problem by Castillo and Papini. We also investigate such constant in the class of Banach spaces admitting c0 spreading models, answering in particular one question from our previous joint paper with Hajek and Kania.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF16_027%2F0008465" target="_blank" >EF16_027/0008465: International Mobility of Researchers in CTU</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
ISSN
1578-7303
e-ISSN
1579-1505
Volume of the periodical
113
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
3649-3658
UT code for WoS article
000483725900045
EID of the result in the Scopus database
2-s2.0-85069524439