Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Inverse_Mapping_Theorem
|
| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bounded Inverse Theorem
|
| gptkbp:implies |
the inverse of a bounded bijective operator is bounded
|
| gptkbp:relatedTo |
gptkb:Closed_Graph_Theorem
gptkb:Open_Mapping_Theorem |
| gptkbp:sentence |
If a bounded linear operator between Banach spaces is bijective, then its inverse is also bounded and linear.
|
| gptkbp:usedIn |
analysis of linear operators
solving operator equations |
| gptkbp:bfsParent |
gptkb:Closed_Graph_Theorem
gptkb:Open_Mapping_Theorem |
| gptkbp:bfsLayer |
7
|