Positive absolutely summing operators on the Köthe spaces (Q5951644)
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: Positive absolutely summing operators on the Köthe spaces |
scientific article; zbMATH DE number 1686444
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive absolutely summing operators on the Köthe spaces |
scientific article; zbMATH DE number 1686444 |
Statements
Positive absolutely summing operators on the Köthe spaces (English)
0 references
13 March 2003
0 references
Extending an earlier result on \(L^p\)-spaces, the author characterizes positive absolutely summing operators on the Köthe space \(E (X)\), with \(X\) a Banach lattice. As an application of this result, composition of two positive absolutely summing operators is proved to be a positive absolutely summing operator. An interpolation result for positive absolutely summing operators is also given.
0 references
positive absolutely summing operators
0 references
Köthe space
0 references
Banach lattice
0 references
composition
0 references
