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Results tagged with positivity
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user 56920
2
votes
0
answers
158
views
Formula for a completely positive map
Is there a family of completely positive maps $L(A,B)$ depending continuously on two nonzero, symmetric positive semidefinite $n\times n$ matrices $A$ and $B$, such that $L(A,B)$ maps $A$ to $B$ and r …
- 3,873
16
votes
1
answer
3k
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positive not completely positive maps
In extension to this question
Positive but not completely positive?
I'd like to know, for $k>1$, examples of $k$-positive linear maps of a matrix algebra into itself that are not $k+1$-positive. (I d …
- 101