Distinguished Cp(X) spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00535813" target="_blank" >RIV/67985840:_____/21:00535813 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-020-00967-4" target="_blank" >https://doi.org/10.1007/s13398-020-00967-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-020-00967-4" target="_blank" >10.1007/s13398-020-00967-4</a>
Alternative languages
Result language
angličtina
Original language name
Distinguished Cp(X) spaces
Original language description
We continue our initial study of Cp(X) spaces that are distinguished, equiv., are large subspaces of RX, equiv., whose strong duals Lβ(X) carry the strongest locally convex topology. Many are distinguished, many are not. All Lβ(X) spaces are, as are all metrizable Cp(X) and Ck(X) spaces. To prove a space Cp(X) is not distinguished, we typically compare the character of Lβ(X) with |X|. A certain covering for X we call a scant cover is used to find distinguished Cp(X) spaces. Two of the main results are: (i) Cp(X) is distinguished if and only if its bidual E coincides with RX, and (ii) for a Corson compact space X, the space Cp(X) is distinguished if and only if X is scattered and Eberlein compact.
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/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
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
ISSN
1578-7303
e-ISSN
1579-1505
Volume of the periodical
115
Issue of the periodical within the volume
1
Country of publishing house
ES - SPAIN
Number of pages
18
Pages from-to
27
UT code for WoS article
000592573800001
EID of the result in the Scopus database
2-s2.0-85096666805