Opuscula Math. 29, no. 2 (2009), 139-145
http://dx.doi.org/10.7494/OpMath.2009.29.2.139

 
Opuscula Mathematica

A note on Radon-Nikodým derivatives and similarity for completely bounded maps

Aurelian Gheondea
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.

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Cite this article as:
Aurelian Gheondea, Ali Şamil Kavruk, A note on Radon-Nikodým derivatives and similarity for completely bounded maps, Opuscula Math. 29, no. 2 (2009), 139-145, http://dx.doi.org/10.7494/OpMath.2009.29.2.139

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