Universal spaces of subdifferentials of sublinear operators ranging in the cone of bounded lower semicontinuous functions (Q650456)
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: Universal spaces of subdifferentials of sublinear operators ranging in the cone of bounded lower semicontinuous functions |
scientific article; zbMATH DE number 5980798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal spaces of subdifferentials of sublinear operators ranging in the cone of bounded lower semicontinuous functions |
scientific article; zbMATH DE number 5980798 |
Statements
Universal spaces of subdifferentials of sublinear operators ranging in the cone of bounded lower semicontinuous functions (English)
0 references
25 November 2011
0 references
The main result states that the space of compact operators from \(l_2\) into the space of continuous functions on the Stone--Čech compactification of a normal topological space \(X\) is universal for the subdifferentials of sublinear operators from separable Banach spaces to the cone of bounded lower semicontinuous functions on \(X\).
0 references
universal space
0 references
sublinear operator
0 references
subdifferential
0 references
topology of simple convergence
0 references
lower semicontinuous function
0 references
Fréchet problem for universal spaces
0 references
separable Banach space
0 references
continuous selection
0 references
