Weakly Motzkin predecomposable sets (Q1679587)
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: Weakly Motzkin predecomposable sets |
scientific article; zbMATH DE number 6804491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly Motzkin predecomposable sets |
scientific article; zbMATH DE number 6804491 |
Statements
Weakly Motzkin predecomposable sets (English)
0 references
9 November 2017
0 references
A nonempty set \(F \subset \mathbb R^n\) is said to be weakly Motzkin predecomposable if it can be expressed as the Minkowski sum of a bounded convex set and a convex cone. For this class of sets the authors study their fundamental properties and provide two characterizations, one of them in terms of recession cones and exposed faces, and the other one in terms of truncations, that is, intersections with closed halfspaces.
0 references
Motzkin decomposable sets
0 references
convex sets
0 references
convex cones
0 references
