Opuscula Math. 29, no. 2 (2009), 139-145
A note on Radon-Nikodým derivatives and similarity for completely bounded maps
Ali Şamil Kavruk
Abstract. We point out a relation between the Arveson's Radon-Nikodým derivative and known similarity results for completely bounded maps. We also consider Jordan type decompositions coming out from Wittstock's Decomposition Theorem and illustrate, by an example, the nonuniqueness of these decompositions.
Keywords: Radon-Nikodým derivative, \(C^*\)-algebra, completely positive map, similarity.
Mathematics Subject Classification: 46L07.