Merging of positive maps: a construction of various classes of positive maps on matrix algebras

Marcin Marciniak, Adam Rutkowski

For two positive maps ${\varphi }_i:B({\mathcal{K}}_i)\to B({\mathcal{H}}_i)$, $i=1,2$, we construct a new linear map $\varphi :B(\mathcal{H})\to B(\mathcal{K})$, where $\mathcal{K}=\mathcal{K}_1\oplu…