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A completely positive
map associated with a positive map
Erling Størmer |
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Vol. 252 (2011), No. 2, 487–492
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Abstract |
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We show that each positive map from B(K) to B(H) is a scalar multiple of a map of the form Tr−ψ with ψ completely positive. This is used to give necessary and sufficient conditions for maps to be 𝒞-positive for a large class of mapping cones; in particular, we apply the results to k-positive maps. |
Keywords
mapping cones, completely positive maps, k-positive maps
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Mathematical Subject Classification 2010
Primary: 46L60, 46L99
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Milestones
Received: 22 September 2010
Accepted: 28 March 2011
Published: 29 October 2011
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Authors |
| Erling Størmer | |
| Department of Mathematics University of Oslo P.O. Box 1053 0316 Oslo Norway |
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