Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
linear operators |
| gptkbp:field |
functional analysis
|
| gptkbp:firstPublished |
1930s
|
| gptkbp:generalizes |
theorem for normed spaces
|
| gptkbp:hasVersion |
for Fréchet spaces
|
| https://www.w3.org/2000/01/rdf-schema#label |
Closed Graph Theorem
|
| gptkbp:namedAfter |
graph of an operator
|
| gptkbp:relatedTo |
gptkb:Open_Mapping_Theorem
gptkb:Bounded_Inverse_Theorem |
| gptkbp:requires |
Banach space structure
|
| gptkbp:state |
If a linear operator between Banach spaces has a closed graph, then it is bounded
|
| gptkbp:usedIn |
operator theory
analysis of partial differential equations |
| gptkbp:bfsParent |
gptkb:Uniform_Boundedness_Principle
|
| gptkbp:bfsLayer |
6
|