Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Hausdorff spaces
|
| gptkbp:concerns |
algebras of functions
uniform approximation |
| gptkbp:field |
mathematical analysis
|
| gptkbp:generalizes |
gptkb:Weierstrass_approximation_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stone–Weierstrass theorem
|
| gptkbp:namedAfter |
gptkb:Karl_Weierstrass
gptkb:Marshall_Stone |
| gptkbp:provenBy |
gptkb:Marshall_Stone
|
| gptkbp:state |
Any subalgebra of C(X) that separates points and contains the constant functions is dense in C(X) with respect to the uniform norm.
|
| gptkbp:yearProved |
1937
|
| gptkbp:bfsParent |
gptkb:Laurance_M._Stone
|
| gptkbp:bfsLayer |
5
|