Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Hausdorff spaces
commutative C*-algebras |
| gptkbp:categoryTheoryConcept |
duality
|
| gptkbp:field |
functional analysis
|
| gptkbp:generalizes |
noncommutative Gelfand duality
|
| gptkbp:hasApplication |
gptkb:topology
spectral theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand duality
|
| gptkbp:namedAfter |
gptkb:Israel_Gelfand
|
| gptkbp:relatedTo |
gptkb:C*-algebra
gptkb:locally_compact_Hausdorff_space |
| gptkbp:state |
The category of commutative unital C*-algebras is contravariantly equivalent to the category of compact Hausdorff spaces
|
| gptkbp:usedIn |
noncommutative geometry
operator algebras |
| gptkbp:yearProposed |
1941
|
| gptkbp:bfsParent |
gptkb:Stone_duality
|
| gptkbp:bfsLayer |
7
|