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

Opuscula Mathematica

Aurelian Gheondea¹  Ali Şamil Kavruk² 

[1] Bilkent University, Department of Mathematics, 06800 Bilkent, Ankara, Turkey;University of Houston, Department of Mathematics, Houston, TX 77204-3476, U.S.A.;

关键词: Radon-Nikodým derivative;    \(C^*\)-algebra;    completely positive map;    similarity;   

DOI  :  http://dx.doi.org/10.7494/OpMath.2009.29.2.139

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown