Extremals and exposed faces of the cone of positive maps

Author: Yopp David A.  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.53, Iss.3, 2005-06, pp. : 167-174

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Abstract

We show that for a matrix A of size n × m , the maps are extremals of the cone of positive maps acting . When the rank of A equals 1 or m (in which case, necessarily m = n ), we show that these extremals are exposed.