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math.OA2003
A note on fixed points of completely positive maps
Gert K. Pedersen
It is shown that a fixed point of a completely positive map on a semi-finite von Neumann algebra must commute with the operators determining the map (the Lueders phenomenon) if the…
math.OA2002
Jensen's Operator Inequality
Frank Hansen, Gert K. Pedersen
We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval. This is accomplished…