On Orders of Observables on Effect Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583862" target="_blank" >RIV/61989592:15310/17:73583862 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs10773-017-3472-x.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs10773-017-3472-x.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-017-3472-x" target="_blank" >10.1007/s10773-017-3472-x</a>

Result language
angličtina
Original language name
On Orders of Observables on Effect Algebras
Original language description
On the set of bounded observables on an effect algebra, the Olson order defined by spectral resolutions and the standard order defined by a system of sigma-additive states are introduced. We show that sharp bounded observables form a Dedekind sigma-complete sublattice of a Dedekind complete lattice under the Olson order. In addition, we compare both orders, and we illustrate them on different effect algebras.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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