A noncommutative version of a Theorem of Marczewski for submeasures
Tom 101 / 1992
Studia Mathematica 101 (1992), 123-138 DOI: 10.4064/sm-101-2-123-138
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.