Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
real functions
self-adjoint matrices |
| gptkbp:field |
operator theory
matrix analysis |
| gptkbp:importantFor |
characterizes operator monotone functions
|
| gptkbp:namedAfter |
gptkb:Karl_Löwner
|
| gptkbp:publishedIn |
gptkb:Mathematische_Zeitschrift
|
| gptkbp:relatedConcept |
matrix monotone function
operator monotone function |
| gptkbp:sentence |
A function f: (a,b) → ℝ is matrix monotone if and only if it admits an analytic continuation to the upper half-plane that maps it into itself.
|
| gptkbp:usedIn |
gptkb:quantum_information_theory
mathematical physics functional calculus |
| gptkbp:yearProved |
1934
|
| gptkbp:bfsParent |
gptkb:Karel_Löwner
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Löwner's theorem
|