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arxiv: 1405.4688 · v2 · pith:XSMBBLH6new · submitted 2014-05-19 · 🧮 math.FA

Some operator convex functions of several variables

classification 🧮 math.FA
keywords functionsoperatorvariablesconcavityconvexityobtainseveralsome
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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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