Tsirelson-like spaces and complexity of classes of Banach spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390845" target="_blank" >RIV/00216208:11320/18:10390845 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-017-0412-9" target="_blank" >https://doi.org/10.1007/s13398-017-0412-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-017-0412-9" target="_blank" >10.1007/s13398-017-0412-9</a>
Alternative languages
Result language
angličtina
Original language name
Tsirelson-like spaces and complexity of classes of Banach spaces
Original language description
Employing a construction of Tsirelson- like spaces due to Argyros and Deliyanni, we show that the class of all Banach spaces which are isomorphic to a subspace of c0 is a complete analytic set with respect to the Effros Borel structure of separable Banach spaces. Moreover, the classes of all separable spaces with the Schur property and of all separable spaces with the Dunford- Pettis property are Pi 12-complete.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GP14-04892P" target="_blank" >GP14-04892P: Descriptive set theory and universality questions in Banach space theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
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, Fisicas y Naturales - Serie A: Matematicas
ISSN
1578-7303
e-ISSN
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Volume of the periodical
112
Issue of the periodical within the volume
4
Country of publishing house
ES - SPAIN
Number of pages
23
Pages from-to
1101-1123
UT code for WoS article
000445335600013
EID of the result in the Scopus database
2-s2.0-85053704385