Algebraic characterizations of measure algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00343871" target="_blank" >RIV/67985840:_____/08:00343871 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Algebraic characterizations of measure algebras
Original language description
We present necessary and sufficient conditions for the existence of a countably additive measure on a Boolean sigma-algebra. For instance, a Boolean sigma-algebra B is a measure algebra if and only if B - {0} is the union of a chain of sets C-1 subset ofC-2 subset of.... such that for every n, (i) every antichain in C-n has at most K(n) elements (for some integer K(n)), (ii) if {a(n)}(n) is a sequence with a(n) is not an element of C-n for each n, then lim(n) a(n) = 0, and (iii) for every k, if {a(n)}n is a sequence with limn an = 0, then for eventually all n, a(n) is not an element of C-k. The chain {Cn} is essentially unique.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/IAA100190509" target="_blank" >IAA100190509: Measure algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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