Completeness of Inner Product Spaces Associated with Functional on Jordan Structures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00346263" target="_blank" >RIV/68407700:21230/20:00346263 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S1995080220040277" target="_blank" >https://doi.org/10.1134/S1995080220040277</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1995080220040277" target="_blank" >10.1134/S1995080220040277</a>
Alternative languages
Result language
angličtina
Original language name
Completeness of Inner Product Spaces Associated with Functional on Jordan Structures
Original language description
We show that a normal functional varphi on a JBW* triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if varphi is a finite convex combination of extreme points from the predual. Application of this result to von Neumann algebras is shown.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Lobachevskii Journal of Mathematics
ISSN
1995-0802
e-ISSN
1818-9962
Volume of the periodical
41
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
661-665
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85088641632