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math.FA2024
Cross-positive linear maps, positive polynomials and sums of squares
Igor Klep, Klemen Šivic, Aljaž Zalar
A linear map between matrix spaces is called cross-positive if it is positive on orthogonal pairs of positive semidefinite matrices in the sense that $\langle U,V\rangl…
math.FA2016★ 12 cited
There are many more positive maps than completely positive maps
Igor Klep, Scott McCullough, Klemen Šivic +1
A linear map between matrix spaces is positive if it maps positive semidefinite matrices to positive semidefinite ones, and is called completely positive if all its ampliations are…
math.FA2014
On the positive commutator in the radical
Marko Kandić, Klemen Šivic
In this paper we prove that a positive commutator between a positive compact operator and a positive operator is in the radical of the Banach algebra generated by and $…