A noncommutative version of a Theorem of Marczewski for submeasures

Paolo de Lucia; Pedro Morales

Studia Mathematica (1992)

  • Volume: 101, Issue: 2, page 123-138
  • ISSN: 0039-3223

Abstract

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It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.

How to cite

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de Lucia, Paolo, and Morales, Pedro. "A noncommutative version of a Theorem of Marczewski for submeasures." Studia Mathematica 101.2 (1992): 123-138. <http://eudml.org/doc/215896>.

@article{deLucia1992,
abstract = {It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.},
author = {de Lucia, Paolo, Morales, Pedro},
journal = {Studia Mathematica},
keywords = {approximating paving; regular submeasure; monocompact submeasure; orthomodular poset; Marczewski theorem},
language = {eng},
number = {2},
pages = {123-138},
title = {A noncommutative version of a Theorem of Marczewski for submeasures},
url = {http://eudml.org/doc/215896},
volume = {101},
year = {1992},
}

TY - JOUR
AU - de Lucia, Paolo
AU - Morales, Pedro
TI - A noncommutative version of a Theorem of Marczewski for submeasures
JO - Studia Mathematica
PY - 1992
VL - 101
IS - 2
SP - 123
EP - 138
AB - It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
LA - eng
KW - approximating paving; regular submeasure; monocompact submeasure; orthomodular poset; Marczewski theorem
UR - http://eudml.org/doc/215896
ER -

References

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