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MR2180898 (2006f:47019) 47A63 (16W60 30C40)
Kalyuzhnyi-Verbovetskiĭ, Dmitry S.; Vinnikov, Victor Non-commutative positive kernels and their matrix evaluations. Proc. Amer. Math. Soc. 134 (2006), no. 3, 805–816.
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