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Operator monotone function
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<p>In linear algebra, the operator monotone function is an important type of <a href="/facts/Real-valued_function/jetqlJpK">real-valued function</a>, fully classified by <a href="/facts/Charles_L%C3%B6wner/caA1Feuu">Charles Löwner</a> in 1934. It is closely allied to the operator concave and operator concave functions, and is encountered in <a href="/facts/Operator_theory/Ays1ofel">operator theory</a> and in <a href="/facts/Matrix_theory/qa8FI4ko">matrix theory</a>, and led to the Löwner–Heinz inequality. </p>