Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
complex analysis
function theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Wermer's theorem
|
| gptkbp:namedAfter |
gptkb:John_Wermer
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:Runge's_theorem
gptkb:Oka–Weil_theorem |
| gptkbp:sentence |
If K is a compact subset of the complex plane, then every function continuous on K and holomorphic in its interior can be uniformly approximated by polynomials if and only if K is polynomially convex.
The polynomially convex hull of a compact subset of the complex plane is equal to its uniform algebra hull. |
| gptkbp:yearProved |
1958
|
| gptkbp:bfsParent |
gptkb:John_Wermer
|
| gptkbp:bfsLayer |
6
|