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An operator inequality. (English) Zbl 0407.47012

##### MSC:
 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 47A30 Norms (inequalities, more than one norm, etc.) of linear operators 46L05 General theory of $$C^*$$-algebras
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##### References:
 [1] Bendat, J., Sherman, S.: Monotone and convex operator functions. Trans. Amer. Math. Soc.79, 58-71 (1955) · Zbl 0064.36901 · doi:10.1090/S0002-9947-1955-0082655-4 [2] Halmos, P.R.: A Hilbert space problem book. American Book 1967 · Zbl 0144.38704 [3] Löwner, K.: Über monotone Matrixfunktionen. Math. Z.38, 177-216 (1934) · Zbl 0008.11301 · doi:10.1007/BF01170633 [4] Pedersen, G.K.: Some operator monotone functions. Proc. Amer. Math. Soc.36, 309-310 (1972) · Zbl 0256.47019 [5] Stinespring, W.F.: Positive functions onC*-algebras. Proc. Amer. Math. Soc.6, 211-216 (1955) · Zbl 0064.36703
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