The spectrum of the sum of observables on sigma-complete MV-effect algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00107972" target="_blank" >RIV/00216224:14310/18:00107972 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs00500-018-3078-0.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00500-018-3078-0.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-018-3078-0" target="_blank" >10.1007/s00500-018-3078-0</a>

Result language
angličtina
Original language name
The spectrum of the sum of observables on sigma-complete MV-effect algebras
Original language description
The natural question about the sum of observables on -complete MV-effect algebras, which was recently defined by A. Dvureenskij, is how it affects spectra of observables, particularly, their extremal points. We describe boundaries for extremal points of the spectrum of the sum of observables in a general case, and we give necessary and sufficient conditions under which the spectrum attains these boundary values. Moreover, we show that every bounded observable x on a complete MV-effect algebra E can be decomposed into the sum is a meager and extremally non-invertible observable.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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