Carathéodory convex selections of set-valued functions in Banach lattices (Q519483)
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: Carathéodory convex selections of set-valued functions in Banach lattices |
scientific article; zbMATH DE number 6700738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carathéodory convex selections of set-valued functions in Banach lattices |
scientific article; zbMATH DE number 6700738 |
Statements
Carathéodory convex selections of set-valued functions in Banach lattices (English)
0 references
4 April 2017
0 references
Let \(T\) be measurable space \(X\) a Banach space while \(Y\) a Banach lattice. We consider the class of ``upper separated'' set-valued functions \(F:T \times X \to 2^Y\) and investigate the problem of the existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.
0 references
Banach lattice
0 references
convex selection
0 references
Carathéodory type selection
0 references
multifunction
0 references
