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arxiv: 0808.0468 · v1 · submitted 2008-08-04 · 🧮 math-ph · math.MP· math.OA

On a correspondence between regular and non-regular operator monotone functions

classification 🧮 math-ph math.MPmath.OA
keywords functionsoperatormonotonenon-regularregularapplicationbijectioncertain
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We prove that there is a bijection between the families of regular and non-regular operator monotone functions. As an application we give a new proof of the operator monotonicity of a certain class of functions related to Wigner-Yanase-Dyson skew information.

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