Geodesic
Facial Structures for the Positive Linear Maps Between Matrix Algebras
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 74-82

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Let denote the convex set of all positive linear maps from the matrix algebra Mn (C) into itself. We construct a join homomorphism from the complete lattice of all faces of into the complete lattice of all join homomorphisms between the lattice of all subspaces of Cn . We also characterize all maximal faces of .
DOI : 10.4153/CMB-1996-010-x
Mots-clés : 46L05, 06B99 
Kye, Seung-Hyeok. Facial Structures for the Positive Linear Maps Between Matrix Algebras. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 74-82. doi: 10.4153/CMB-1996-010-x
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     title = {Facial {Structures} for the {Positive} {Linear} {Maps} {Between} {Matrix} {Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {1996},
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     doi = {10.4153/CMB-1996-010-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-010-x/}
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