Arveson’s extension theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:C*-algebras
completely positive maps
gptkbp:field functional analysis
operator algebras
https://www.w3.org/2000/01/rdf-schema#label Arveson’s extension theorem
gptkbp:namedAfter gptkb:William_Arveson
gptkbp:publishedIn gptkb:Acta_Mathematica
gptkbp:relatedTo gptkb:Choi’s_theorem
gptkb:Stinespring_dilation_theorem
gptkbp:sentence Every completely positive map from a subspace of a C*-algebra to B(H) can be extended to a completely positive map on the whole C*-algebra.
gptkbp:usedIn gptkb:quantum_information_theory
operator systems
gptkbp:yearProposed 1969
gptkbp:bfsParent gptkb:William_Arveson
gptkbp:bfsLayer 6