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An example is given of a linear mapping from C[x] to M2(C) which is positive but not completely positive. It is shown that a positive linear mapping from C[x] to B(^) is completely positive if certain scalar moment sequences associated with it are determinate.doi:10.1090/s0002-9939-1994-1197531-3 fatcat:n4xus6usdzhfni6cv2ocqqjhm4