On control measures of multimeasures (Q2136593)
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 control measures of multimeasures |
scientific article; zbMATH DE number 7524919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On control measures of multimeasures |
scientific article; zbMATH DE number 7524919 |
Statements
On control measures of multimeasures (English)
0 references
11 May 2022
0 references
In the main result of the paper it is proved that any multimeasure with non-empty bounded values in a Banach space containing no subspace isomorphic to \(c_0(\omega_1)\) admits a control measure. By \(\omega_1\) one denotes the first uncountable ordinal. By including an example it is shown that the condition on the Banach space cannot be removed.
0 references
multimeasure
0 references
control measure
0 references
countable chain condition
0 references
0 references
0 references
