Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
mathematical analysis
mathematical physics |
| gptkbp:describes |
representation of C*-algebras
|
| gptkbp:field |
functional analysis
operator algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
GNS construction
|
| gptkbp:input |
gptkb:C*-algebra
state on a C*-algebra |
| gptkbp:introducedIn |
1943
|
| gptkbp:namedAfter |
gptkb:Israel_Gelfand
gptkb:Irving_Segal gptkb:Mark_Naimark |
| gptkbp:output |
gptkb:Hilbert_space
cyclic vector representation of C*-algebra on Hilbert space |
| gptkbp:relatedTo |
gptkb:Gelfand–Naimark_theorem
gptkb:von_Neumann_algebras quantum mechanics representation theory |
| gptkbp:usedFor |
constructing Hilbert space representations
|
| gptkbp:bfsParent |
gptkb:Gelfand–Naimark–Segal_construction
|
| gptkbp:bfsLayer |
5
|