Statements (14)
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
|
https://www.w3.org/2000/01/rdf-schema#label |
open mapping theorem
|
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:Topological_vector_spaces
gptkb:Uniform_boundedness_principle |
gptkbp:bfsLayer |
6
|