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arxiv: 1206.5452 · v1 · pith:WGS6RCYAnew · submitted 2012-06-24 · 🧮 math.FA · math.OA

Transforms on operator monotone functions

classification 🧮 math.FA math.OA
keywords operatorfunctionsmonotonesharpfunctionlinemonotonicitypositive
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For an operator monotone function $f(t)$ on the positive real line, we show the operator monotonicity of the type of the functions $(t-a)(t-b)/(f(t)-f(a))(f^\sharp(t)-f^\sharp(b))$.

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