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Let 𝒦 and ℋ be finite dimensional Hilbert spaces and let denote the cone of all positive linear maps acting from
into
. We show that each map of the form φ(X) = AXA* or φ(X) = AX
T
A* is an exposed point of
. It is done by careful analysis of rank properties of these maps.
The research is supported partially by the research grant of MNiSW N N202 208238 and South Africa – Poland scientific cooperation project UID 72336.
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