Birkhoff–Kellogg invariant-direction theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Banach_spaces
fixed point theory |
| gptkbp:field |
functional analysis
|
| gptkbp:namedAfter |
gptkb:Garrett_Birkhoff
gptkb:Oliver_Dimon_Kellogg |
| gptkbp:publicationYear |
1922
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
A continuous compact mapping from a closed convex bounded subset of a Banach space into itself has an invariant direction.
|
| gptkbp:bfsParent |
gptkb:George_D._Birkhoff
gptkb:George_David_Birkhoff |
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Birkhoff–Kellogg invariant-direction theorem
|