Symmetrically separated sequences in the unit sphere of a Banach space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00494452" target="_blank" >RIV/67985840:_____/18:00494452 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/18:00324868
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2018.01.008" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2018.01.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2018.01.008" target="_blank" >10.1016/j.jfa.2018.01.008</a>

Result language
angličtina
Original language name
Symmetrically separated sequences in the unit sphere of a Banach space
Original language description
We prove the symmetric version of Kottman's theorem, that is to say, we demonstrate that the unit sphere of an infinite-dimensional Banach space contains an infinite subset A with the property that ... for distinct elements x,y in A, thereby answering a question of J.M.F. Castillo. In the case where X contains an infinite-dimensional separable dual space or an unconditional basic sequence, the set A may be chosen in a way that ... for some epsilon>0 and distinct x,y in A. Under additional structural properties of X, such as non-trivial cotype, we obtain quantitative estimates for the said epsilon. Certain renorming results are also presented.
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/GA16-07378S" target="_blank" >GA16-07378S: Nonlinear analysis in Banach spaces</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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