Dvoretzky's theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Banach_spaces
gptkbp:field gptkb:geometry
functional analysis
https://www.w3.org/2000/01/rdf-schema#label Dvoretzky's theorem
gptkbp:influenced asymptotic geometric analysis
gptkbp:namedAfter gptkb:Aryeh_Dvoretzky
gptkbp:publishedIn gptkb:Proceedings_of_the_National_Academy_of_Sciences
gptkbp:relatedTo gptkb:Banach–Mazur_distance
high-dimensional geometry
concentration of measure
gptkbp:sentence Every high-dimensional normed space has nearly Euclidean subspaces of dimension depending on the degree of approximation.
gptkbp:yearProposed 1961
gptkbp:bfsParent gptkb:Aryeh_Dvoretzky
gptkbp:bfsLayer 6