Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
self-adjoint operators
positive semidefinite matrices |
| gptkbp:field |
functional analysis
operator theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Löwner–Heinz inequality
|
| gptkbp:namedAfter |
gptkb:Ernst_Heinz
gptkb:Károly_Löwner |
| gptkbp:publishedIn |
gptkb:Mathematische_Zeitschrift
|
| gptkbp:relatedTo |
matrix monotone functions
operator monotone functions |
| gptkbp:sentence |
If 0 ≤ A ≤ B, then A^p ≤ B^p for 0 ≤ p ≤ 1, for positive semidefinite matrices or operators.
|
| gptkbp:yearProved |
1951
|
| gptkbp:bfsParent |
gptkb:Karl_Löwner
|
| gptkbp:bfsLayer |
7
|