Genericity of Fréchet smooth spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127338" target="_blank" >RIV/00216208:11320/12:10127338 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s13398-012-0063-9" target="_blank" >http://dx.doi.org/10.1007/s13398-012-0063-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-012-0063-9" target="_blank" >10.1007/s13398-012-0063-9</a>

Result language
angličtina
Original language name
Genericity of Fréchet smooth spaces
Original language description
If a separable Banach space X contains an isometric copy of every separable reflexive Fréchet smooth Banach space, then X contains an isometric copy of every separable Banach space. The same conclusion holds if we consider separable Banach spaces with Fréchet smooth dual space. This improves a result of G. Godefroy and N.J. Kalton.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F09%2F0067" target="_blank" >GA201/09/0067: Theory of real functions and descriptive set theory II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas
ISSN
1578-7303
e-ISSN
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Volume of the periodical
106
Issue of the periodical within the volume
2
Country of publishing house
ES - SPAIN
Number of pages
36
Pages from-to
371-406
UT code for WoS article
000308000700010
EID of the result in the Scopus database
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