Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:category |
theorems in functional analysis
|
| 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
bounded inverse theorem |
| gptkbp:state |
If a surjective continuous linear operator exists between Banach spaces, it is an open map
|
| gptkbp:usedIn |
analysis
operator theory partial differential equations |
| gptkbp:yearProposed |
1931
|
| gptkbp:bfsParent |
gptkb:Banach–Steinhaus_theorem
gptkb:Banach_spaces |
| gptkbp:bfsLayer |
5
|