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Positive definite operator sequences

Author: T. Bisgaard
Journal: Proc. Amer. Math. Soc. 121 (1994), 1185-1191
MSC: Primary 43A35; Secondary 43A65, 44A60, 46L05
MathSciNet review: 1197531
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Abstract: An example is given of a linear mapping from $ {\mathbf{C}}[x]$ to $ {{\mathbf{M}}_2}({\mathbf{C}})$ which is positive but not completely positive. It is shown that a positive linear mapping from $ {\mathbf{C}}[x]$ to $ {\mathbf{B}}(\mathcal{H})$ is completely positive if certain scalar moment sequences associated with it are determinate.

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