Besov spaces and a trace ideal (Q1307394)
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: Besov spaces and a trace ideal |
scientific article; zbMATH DE number 1355008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Besov spaces and a trace ideal |
scientific article; zbMATH DE number 1355008 |
Statements
Besov spaces and a trace ideal (English)
0 references
31 October 1999
0 references
Let \(\Pi_2\) be the operator ideal of all absolutely 2-summing operators and let \((\Pi_2)_{2,1}^{(a)}\) be the ideal of operators whose sequences of \(\Pi_2\)-approximation numbers belong to the Lorentz sequence space \(\ell_{2,1}\). The author presents two results of the following kind. If a given matrix or kernel function belongs to a certain Besov space, then the operator it generates is in \((\Pi_2)_{2,1}^{(a)}\).
0 references
Besov spaces
0 references
absolutely 2-summing operators
0 references
Lorentz sequence space
0 references
