Determinacy of Functionals and Lyapunov Theorem for Jordan Triple Structures and von Neumann Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00347530" target="_blank" >RIV/68407700:21230/20:00347530 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S1995080220120148" target="_blank" >https://doi.org/10.1134/S1995080220120148</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1995080220120148" target="_blank" >10.1134/S1995080220120148</a>

Result language
angličtina
Original language name
Determinacy of Functionals and Lyapunov Theorem for Jordan Triple Structures and von Neumann Algebras
Original language description
In this note we apply noncommutative versions of Lyapunov convexity theorem to obtaning new results in comparison theory of states and functional on von Neumann algebras and JBW* triples. We show that in many cases the sets of projections or tripotents on which functionals attain constant single numerical value are determining for them. We discuss connection of our results with quantum theory.
Czech name
—
Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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