Continuous linear images of spaces Cp(X) with the weak topology
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558105" target="_blank" >RIV/67985840:_____/22:00558105 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-022-01250-4" target="_blank" >https://doi.org/10.1007/s13398-022-01250-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-022-01250-4" target="_blank" >10.1007/s13398-022-01250-4</a>
Alternative languages
Result language
angličtina
Original language name
Continuous linear images of spaces Cp(X) with the weak topology
Original language description
Cp(X) denotes the space of continuous real-valued functions on a Tychonoff space X with the topology of pointwise convergence. A locally convex space (lcs) E with the weak topology is denoted by Ew. First, we show that there is no a sequentially continuous linear surjection T: Cp(X) → Ew, if E is a lcs with a fundamental sequence of bounded sets. Second, we prove that if there exists a sequentially continuous linear map from Cp(X) onto Ew for some infinite-dimensional metrizable lcs E, then the completion of E is isomorphic to the countable power of the real line Rω. Illustrating examples are provided.
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
—
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
2022
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
116
Issue of the periodical within the volume
3
Country of publishing house
ES - SPAIN
Number of pages
7
Pages from-to
129
UT code for WoS article
000805167900001
EID of the result in the Scopus database
2-s2.0-85131117169