Geodesic
Indecomposable Positive Maps in Matrix Algebras
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 308-317

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DOI

We prove that Choi's map in M3 cannot be written as the sum of a 2-positive map and a 2-copositive map. We also provide other examples of positive maps in Mn which cannot be written as the sum of an n-positive map and a 2-copositive map.
DOI : 10.4153/CMB-1988-044-4
Mots-clés : 16A42, 15A30 
Tanahashi, Kôtarô; Tomiyama, Jun. Indecomposable Positive Maps in Matrix Algebras. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 308-317. doi: 10.4153/CMB-1988-044-4
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     author = {Tanahashi, K\^otar\^o and Tomiyama, Jun},
     title = {Indecomposable {Positive} {Maps} in {Matrix} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {308--317},
     year = {1988},
     volume = {31},
     number = {3},
     doi = {10.4153/CMB-1988-044-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-044-4/}
}
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