On the ideals of Orlicz type operators (Q2912202)
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 the ideals of Orlicz type operators |
scientific article; zbMATH DE number 6082490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the ideals of Orlicz type operators |
scientific article; zbMATH DE number 6082490 |
Statements
On the ideals of Orlicz type operators (English)
0 references
14 September 2012
0 references
approximation numbers
0 references
Orlicz function
0 references
sequence spaces
0 references
For an Orlicz function \(M\) and Banach spaces \(X,Y\), the authors introduce the space \(\ell_M(X,Y)=\{T \in \mathcal{L}(X,Y): \{a_n(T)\} \in \ell_M \}\), equipped with the canonical norm, where \(a_n(T)\) denotes the \(n\)th approximation number of \(T\). They prove some basic, standard properties of this space and its members, and prove that it can be identified with a certain Köthe power space of linear operators which is defined via the complementary Orlicz function of \(M\).
0 references
