Gelfand–Naimark–Segal construction
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:GNS_construction
|
| gptkbp:appliesTo |
gptkb:C*-algebras
|
| gptkbp:constructs |
cyclic representation
|
| gptkbp:field |
functional analysis
operator algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand–Naimark–Segal construction
|
| gptkbp:introducedIn |
1943
|
| gptkbp:namedAfter |
gptkb:Israel_Gelfand
gptkb:Irving_Segal gptkb:Mark_Naimark |
| gptkbp:purpose |
constructs a representation of a C*-algebra from a state
|
| gptkbp:relatedTo |
gptkb:Hilbert_space
representation theory state (functional analysis) |
| gptkbp:usedIn |
mathematical physics
quantum mechanics |
| gptkbp:bfsParent |
gptkb:Israel_Gelfand
|
| gptkbp:bfsLayer |
4
|