Statements (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
|
| gptkbp:concerns |
bounded linear operators
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Douglas lemma
|
| gptkbp:namedAfter |
gptkb:Ronald_G._Douglas
|
| gptkbp:publishedIn |
gptkb:Acta_Scientiarum_Mathematicarum
|
| gptkbp:state |
Given bounded operators A and B on a Hilbert space, the equation AX = B has a solution X if and only if the range of B is contained in the range of A and B B* ≤ λ A A* for some λ ≥ 0.
|
| gptkbp:yearProposed |
1966
|
| gptkbp:bfsParent |
gptkb:R._C._Douglas
|
| gptkbp:bfsLayer |
7
|