Abstract
Letandbe unital positive linear maps satisfying some conditions with respect to positive scalarsand �. It is shown that if a real valued function f is operator concave on an interval J, then � (f(�(A)) �(f(A))) � f(�(A)) �(f(A)) � �(f(�(A)) �(f(A))) for every selfadjoint operator A with spectrum �(A) � J. Moreover, an external version of estimates above is presented.
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