Opuscula Mathematica
Opuscula Math. 29, no. 2 (2009), 139-145

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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About the authors ▼
Aurelian Gheondea
Bilkent University, Department of Mathematics, 06800 Bilkent, Ankara, Turkey; Institutul de Matematică al Academiei Române, C.P. 1-764, 014700 Bucureşti, România
Ali Şamil Kavruk
University of Houston, Department of Mathematics, Houston, TX 77204-3476, U.S.A.
About the article ▼
Received: 2008-12-12.
Accepted: 2009-01-22.
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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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