Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Banach_spaces
positive operators |
| gptkbp:field |
functional analysis
|
| gptkbp:generalizes |
gptkb:Perron–Frobenius_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Krein–Rutman theorem
|
| gptkbp:namedAfter |
gptkb:Mark_Krein
Mikhail Rutman |
| gptkbp:publicationYear |
1948
|
| gptkbp:publishedIn |
gptkb:Doklady_Akademii_Nauk_SSSR
|
| gptkbp:state |
A compact, positive operator on a Banach space with a nontrivial closed convex cone has a positive eigenvector corresponding to the spectral radius.
|
| gptkbp:bfsParent |
gptkb:Mark_Krein
|
| gptkbp:bfsLayer |
6
|