Jauch-Piron states on quantum logics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00346266" target="_blank" >RIV/68407700:21230/20:00346266 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0219498820500176" target="_blank" >https://doi.org/10.1142/S0219498820500176</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219498820500176" target="_blank" >10.1142/S0219498820500176</a>

Result language
angličtina
Original language name
Jauch-Piron states on quantum logics
Original language description
We show in this note that if B is a Boolean subalgebra of the lattice quantum logic L, then each state on B can be extended over L as a Jauch-Piron state provided L is Jauch-Piron unital with respect to B (i.e. for each nonzero b is an element of B, there is a Jauch-Piron state s on L such that s(b) = 1). We then discuss this result for the case of L being the Hilbert space logic L(H) and L being a set-representable logic.
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
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)<br>S - Specificky vyzkum na vysokych skolach

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

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