Assertion: function | /r/HasProperty | monotone
Facets:
Source sentences:
text: Loewner's Theorem states that a function on an open interval is operator monotone if and only if it has an analytic extension to the upper and lower complex half planes so that the upper half plane is mapped to itself.
text: A function f {\displaystyle f} is called operator monotone if and only if 0 ≺ A ⪯ H ⇒ f ( A )