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Integral representations of some families of operator monotone functions. (English) Zbl 1495.47037

An explicit form for the one-parameter family of function, which is the representing function of the power mean, is obtained. Using this, an integral representation for this function is given. This has applications to operator monotone functions.

MSC:

47A64 Operator means involving linear operators, shorted linear operators, etc.
26A48 Monotonic functions, generalizations
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References:

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