Birkhoff–Kellogg invariant-direction theorem

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:concerns	gptkb:Banach_spaces fixed point theory
gptkbp:field	functional analysis
https://www.w3.org/2000/01/rdf-schema#label	Birkhoff–Kellogg invariant-direction theorem
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