Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Banach–Schauder_theorem
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Open Mapping Theorem
|
| gptkbp:provenBy |
gptkb:Stefan_Banach
|
| gptkbp:relatedTo |
gptkb:Closed_Graph_Theorem
gptkb:Bounded_Inverse_Theorem |
| gptkbp:state |
A surjective continuous linear operator between Banach spaces is an open map
|
| gptkbp:usedIn |
analysis
operator theory partial differential equations |
| gptkbp:yearProved |
1931
|
| gptkbp:bfsParent |
gptkb:Uniform_Boundedness_Principle
|
| gptkbp:bfsLayer |
6
|