Open AccessA note on Radon-Nikodým derivatives and similarity for completely bounded maps
Author(s) -
Aurelian Gheondea,
Ali S. Kavruk
Publication year - 2009
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2009.29.2.139
Subject(s) - mathematics , bounded function , similarity (geometry) , radon , pure mathematics , combinatorics , mathematical analysis , image (mathematics) , artificial intelligence , computer science , physics , quantum mechanics
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
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