- Tytuł:
- Decomposition of group-valued measures on orthoalgebras
- Autorzy:
-
De Lucia, Paolo
Morales, Pedro - Powiązania:
- https://bibliotekanauki.pl/articles/1205290.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem.
- Źródło:
-
Fundamenta Mathematicae; 1998, 158, 2; 109-124
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł