Subsets on partially ordered topological linear spaces (Q1582152)
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: Subsets on partially ordered topological linear spaces |
scientific article; zbMATH DE number 1512909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subsets on partially ordered topological linear spaces |
scientific article; zbMATH DE number 1512909 |
Statements
Subsets on partially ordered topological linear spaces (English)
0 references
19 June 2001
0 references
The authors introduce the supset of a subset \(U\) in an ordered vector space which is the set of minimal elements of the set of upper bounds of \(U\). The infset of \(U\) is defined by reversal. Some elementary properties of Riesz spaces are discussed using supsets and infsets.
0 references
supremum
0 references
infimum
0 references
distributive law
0 references
ordered vector space
0 references
Riesz spaces
0 references
0.9102216
0 references
0.9041399
0 references
0.8994372
0 references
0.8992821
0 references
