Löwner’s theorem

A real function f on an interval I is matrix monotone if and only if it is real analytic and has (complex) analytic continuations to the upper and lower half planes such that (f)>0 in the upper half plane.

(Löwner 1934)

Title Löwner’s theorem
Canonical name LownersTheorem
Date of creation 2013-03-22 13:34:49
Last modified on 2013-03-22 13:34:49
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Theorem
Classification msc 40A30