Positive functionals and the axiom of choice (Q759962)
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: Positive functionals and the axiom of choice |
scientific article; zbMATH DE number 3883011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive functionals and the axiom of choice |
scientific article; zbMATH DE number 3883011 |
Statements
Positive functionals and the axiom of choice (English)
0 references
1984
0 references
The countable multiple choice axiom \(MC^{\omega}\) is the assertion, that for a countable sequence \(S_ b\neq \emptyset\) there is a sequence \(E_ n\subseteq S_ n\), \(\emptyset \neq E_ n\) finite. It is proved, that \(MC^{\omega}\) is equivalent to the assertion, that every positive linear functional on a Banach lattice is continuous.
0 references
countable multiple choice axiom
0 references
every positive linear functional on a Banach lattice is continuous
0 references
