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Duality of non-exposed faces
convex body polar conjugate face non-exposed point singular point dual self-dual
2011/9/5
Abstract: The assignment of the conjugate face is a natural mapping associated to a convex body and its polar convex body. We study its restriction to non-exposed faces. Conjugate faces of non-exposed...
Exposed faces for decomposable positive linear maps arising from completely positive maps
decomposable positive maps exposed faces product vectors
2011/7/25
Abstract: Let $D$ be a space of $2\times n$ matrices. Then the face of the cone of all completely positive maps from $M_2$ into $M_n$ given by $D$ is an exposed face of the bigger cone of all decompos...