Banach–Mazur theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo separable Banach spaces
gptkbp:field functional analysis
https://www.w3.org/2000/01/rdf-schema#label Banach–Mazur theorem
gptkbp:implies universality of C([0,1]) for separable Banach spaces
gptkbp:namedAfter gptkb:Stefan_Banach
gptkb:Stanisław_Mazur
gptkbp:publishedIn gptkb:Studia_Mathematica
gptkbp:state Every separable Banach space is isometrically isomorphic to a closed subspace of C([0,1])
gptkbp:targetSpace C([0,1])
gptkbp:yearProposed 1932
gptkbp:bfsParent gptkb:Stanislaw_Mazur
gptkbp:bfsLayer 6