Olson Order of Quantum Observables

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161645" target="_blank" >RIV/61989592:15310/16:33161645 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10773-016-3113-9" target="_blank" >http://link.springer.com/article/10.1007%2Fs10773-016-3113-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-016-3113-9" target="_blank" >10.1007/s10773-016-3113-9</a>

Result language
angličtina
Original language name
Olson Order of Quantum Observables
Original language description
M.P. Olson, Proc. Am. Math. Soc. 28, 537-544 (1971) showed that the system of effect operators of the Hilbert space can be ordered by the so-called spectral order such that the system of effect operators is a complete lattice. Using his ideas, we introduce a partial order, called the Olson order, on the set of bounded observables of a complete lattice effect algebra. We show that the set of bounded observables is a Dedekind complete lattice.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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