期刊
LINEAR & MULTILINEAR ALGEBRA
卷 53, 期 3, 页码 167-174出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081080412331272500
关键词
extremal; positive semidefinite preserver; exposed face
类别
We show that for a matrix A of size n x m, the maps X bar right arrow AXA* and X bar right arrow A X-T A* are extremals of the cone of positive maps acting C-mxm --> C-nxn. When the rank of A equals 1 or m (in which case, necessarily m <= n), we show that these extremals are exposed.
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