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Some operator convex functions of several variables (1405.4688v2)
Published 19 May 2014 in math.FA
Abstract: We obtain operator concavity (convexity) of some functions of two or three variables by using perspectives of regular operator mappings of one or several variables. As an application, we obtain, for $ 0<p < 1,$ concavity, respectively convexity, of the Frech\'{e}t differential mapping associated with the functions $t \to t{1+p} $ and $t \to t{1-p}.$
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