On non-archimedean Gurarii spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00471872" target="_blank" >RIV/67985840:_____/17:00471872 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2017.01.072" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2017.01.072</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2017.01.072" target="_blank" >10.1016/j.jmaa.2017.01.072</a>

Result language
angličtina
Original language name
On non-archimedean Gurarii spaces
Original language description
Let UFNA be the class of all non-archimedean finite-dimensional Banach spaces. A non-archimedean Gurarii Banach space G over a non-archimedean valued field K is constructed, i.e. a non-archimedean Banach space G of countable type which is of almost universal disposition for the class UFNA. This means: for every isometry ..., where ... and X is a subspace of G, and every ... there exists an -isometry ... such that ... for all ... We show that all non-archimedean Banach spaces of countable type and of almost universal disposition for the class UFNA are -isometric. Furthermore, all non-archimedean Banach spaces of countable type and of almost universal disposition for the class UFNA are isometrically isomorphic if and only if K is spherically complete and ...
Czech name
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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/GF16-34860L" target="_blank" >GF16-34860L: Logic and Topology in Banach spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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