Browsing by Subject "operator convex function"

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On operator monotone and operator convex functions

Bikchentaev A. (2016)

© 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous function f: R+ → R with respect to any C*-algebra. We obtain an estimate for the measure of noncompactness of the difference of ...
To the theory of operator monotone and operator convex functions

Hoa D.; Tikhonov O. (2010)

We prove that a real function is operator monotone (operator convex) if the corresponding monotonicity (convexity) inequalities are valid for some normal state on the algebra of all bounded operators in an infinite-dimensional ...

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