Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Closed graph theorem
|
| gptkbp:introduced |
gptkb:Stefan_Banach
|
| gptkbp:introducedIn |
1932
|
| gptkbp:relatedTo |
gptkb:Open_mapping_theorem
gptkb:Bounded_inverse_theorem |
| gptkbp:state |
A linear operator between Banach spaces is bounded if and only if its graph is closed.
|
| gptkbp:usedIn |
study of functional spaces
analysis of linear operators |
| gptkbp:bfsParent |
gptkb:Banach–Steinhaus_theorem
gptkb:Banach_spaces |
| gptkbp:bfsLayer |
5
|