A definition and some properties of group-valued measure (Q2721546)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A definition and some properties of group-valued measure |
scientific article; zbMATH DE number 1613175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A definition and some properties of group-valued measure |
scientific article; zbMATH DE number 1613175 |
Statements
2 July 2001
0 references
Dedekind \(\sigma\)-complete lattice group
0 references
\(\sigma\)-additive measure
0 references
group-valued measure
0 references
A definition and some properties of group-valued measure (English)
0 references
Let \(A\) be a \(\sigma\)-complete Boolean algebra and \(P\) a Dedekind \(\sigma\)-complete lattice group. The author calls a positive bounded \(\sigma\)-additive measure \(\mu: A\to P\) briefly a group-valued measure and proves some easy (known) properties of such measures.
0 references