Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:open_mapping_theorem
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Banach–Schauder theorem
|
| gptkbp:implies |
continuous linear surjections between Banach spaces are open maps
|
| gptkbp:namedAfter |
gptkb:Stefan_Banach
gptkb:Juliusz_Schauder |
| gptkbp:relatedTo |
gptkb:closed_graph_theorem
bounded inverse theorem |
| gptkbp:state |
A surjective continuous linear operator between Banach spaces is an open map.
|
| gptkbp:bfsParent |
gptkb:open_mapping_theorem
gptkb:Open_Mapping_Theorem |
| gptkbp:bfsLayer |
7
|