GNS theory

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo gptkb:C*-algebras
gptkbp:enables study of C*-algebras via Hilbert space methods
gptkbp:field functional analysis
operator algebras
gptkbp:fullName gptkb:Gelfand–Naimark–Segal_construction
https://www.w3.org/2000/01/rdf-schema#label GNS theory
gptkbp:introducedIn 1940s
gptkbp:namedAfter gptkb:Israel_Gelfand
gptkb:Irving_Segal
gptkb:Mark_Naimark
gptkbp:provides cyclic representation of C*-algebra
gptkbp:purpose constructs a Hilbert space representation from a state on a C*-algebra
gptkbp:relatedTo representation theory
states on C*-algebras
gptkbp:usedIn mathematical physics
quantum mechanics
gptkbp:bfsParent gptkb:GNS
gptkbp:bfsLayer 5