Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| gptkbp:firstPublished |
1930s
|
| https://www.w3.org/2000/01/rdf-schema#label |
closed graph theorem
|
| gptkbp:namedAfter |
graph
|
| gptkbp:relatedTo |
gptkb:Hahn–Banach_theorem
gptkb:open_mapping_theorem bounded linear operator continuous linear operator |
| gptkbp:state |
A linear operator between Banach spaces is bounded if and only if its graph is closed.
|
| gptkbp:bfsParent |
gptkb:Open_mapping_theorem
gptkb:Topological_vector_spaces gptkb:Uniform_boundedness_principle |
| gptkbp:bfsLayer |
6
|