Invariant subspaces of Volterra operators (Q1066063)
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: Invariant subspaces of Volterra operators |
scientific article; zbMATH DE number 3923472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant subspaces of Volterra operators |
scientific article; zbMATH DE number 3923472 |
Statements
Invariant subspaces of Volterra operators (English)
0 references
1984
0 references
This paper develops Lomonosov's techniques for obtaining invariant subspaces from compactness properties. The author proves that any algebra of operators (in a Banach space) whose radical contains a nonzero compact operator has a nontrivial invariant subspace, which is also invariant for its commutant.
0 references
Lomonosov's techniques for obtaining invariant subspaces
0 references
compactness properties
0 references
radical
0 references