Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Banach–Schauder_theorem
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| gptkbp:firstPublished |
1930s
|
| gptkbp:namedAfter |
gptkb:Stefan_Banach
gptkb:Juliusz_Schauder |
| gptkbp:relatedTo |
gptkb:closed_graph_theorem
bounded inverse theorem |
| gptkbp:sentence |
If a surjective continuous linear operator exists between Banach spaces, it is an open map.
|
| gptkbp:bfsParent |
gptkb:Uniform_boundedness_principle
gptkb:closed_graph_theorem gptkb:general_topology gptkb:Bounded_inverse_theorem |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
open mapping theorem
|