On characterizations of bistochastic Kadison-Schwarz operators on M2(C)M_2(\mathbb{C})

preprint2016arXivOpen access

Abstract

In this paper we describe bistochastic Kadison-Schawrz operators acting on M2(C)M_2(\mathbb{C}). Such a description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we construct Kadison-Schawrz operators, which are not completely positive.

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