The paper proves a Stinespring-type factorization and a Radon-Nikodym style domination criterion for operator-valued positive definite kernels over unital C*-algebras, using reduction to scalar reproducing kernel Hilbert spaces.
Kribs, Jeremy Levick, Rajesh Pereira, and Mizanur Rahaman,Operator algebra generalization of a theorem of Watrous and mixed unitary quantum channels, J
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Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels
The paper proves a Stinespring-type factorization and a Radon-Nikodym style domination criterion for operator-valued positive definite kernels over unital C*-algebras, using reduction to scalar reproducing kernel Hilbert spaces.