e investigate some (not necessarily linear) positive mappings in the setting of C∗-algebras. First, we generalize Lieb functions on C∗-algebras to Lieb positive mappings between C∗-algebras. We then give some basic properties ...

In this paper, we introduce the concept of completely positive matrix of linear maps on Hilbert $A$-modules

over locally $C^{*}$-algebras and prove an analogue of Stinespring theorem for it. We show that any ...