On the extension of D -poset valued measures

Beloslav Riečan

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 3, page 385-394
  • ISSN: 0011-4642

Abstract

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A variant of Alexandrov theorem is proved stating that a compact, subadditive D -poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.

How to cite

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Riečan, Beloslav. "On the extension of $D$-poset valued measures." Czechoslovak Mathematical Journal 48.3 (1998): 385-394. <http://eudml.org/doc/30427>.

@article{Riečan1998,
abstract = {A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.},
author = {Riečan, Beloslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {$D$-posets; extension of measures; observables in quantum mechanics; -posets; extension of measures; observables in quantum mechanics; MV-algebra valued measures},
language = {eng},
number = {3},
pages = {385-394},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the extension of $D$-poset valued measures},
url = {http://eudml.org/doc/30427},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Riečan, Beloslav
TI - On the extension of $D$-poset valued measures
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 385
EP - 394
AB - A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.
LA - eng
KW - $D$-posets; extension of measures; observables in quantum mechanics; -posets; extension of measures; observables in quantum mechanics; MV-algebra valued measures
UR - http://eudml.org/doc/30427
ER -

References

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