On compactness in spaces of Bochner integrable functions (Q1307407)
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: On compactness in spaces of Bochner integrable functions |
scientific article; zbMATH DE number 1355019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On compactness in spaces of Bochner integrable functions |
scientific article; zbMATH DE number 1355019 |
Statements
On compactness in spaces of Bochner integrable functions (English)
0 references
31 October 1999
0 references
Some compactness criteria are deduced for the space \(L^p(\mu,X)\). These, essentially, are based on the oscillations measured with either the \(p\)-norm or the \(F\)-norm that generate the topology of convergence in measure.
0 references
Bochner integrable function
0 references
norm compactness
0 references
Bocce oscillation
0 references
Pettis measurability theorem
0 references
