Distinguished vector-valued continuous function spaces and injective tensor products
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00562803" target="_blank" >RIV/67985840:_____/22:00562803 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.36045/j.bbms.210812" target="_blank" >https://dx.doi.org/10.36045/j.bbms.210812</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.36045/j.bbms.210812" target="_blank" >10.36045/j.bbms.210812</a>
Alternative languages
Result language
angličtina
Original language name
Distinguished vector-valued continuous function spaces and injective tensor products
Original language description
The paper continues the study on the distinguished property of the space Cp (X) (of real-valued continuous functions over a Tychonoff space X in the pointwise topology) under the formation of tensor products towards the fol-lowing research directions: (i) the injective tensor product Cp (X) 0, E of Cp (X) and a real locally convex space E (and its completion Cp (X) 0b, E), and (ii) the space Cp (X, E) of all E-valued continuous functions (with a normed space E) endowed with the pointwise topology. This work leads also to a new characterization of distinguished Frechet locally convex spaces E. We show, e. g., that if Cp(X) is metrizable, then E is distinguished if and only if metrizable Cp (X) 0, E is distinguished.
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/GF16-34860L" target="_blank" >GF16-34860L: Logic and Topology in Banach spaces</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
Bulletin of the Belgian Mathematical Society-Simon Stevin
ISSN
1370-1444
e-ISSN
2034-1970
Volume of the periodical
28
Issue of the periodical within the volume
5
Country of publishing house
BE - BELGIUM
Number of pages
13
Pages from-to
709-721
UT code for WoS article
000863348400003
EID of the result in the Scopus database
2-s2.0-85134476101