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

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A_note_on_Radon_Nikodym_derivatives_and_similarity_for_completely_bounded_maps.pdf (387.14 KB)

Date

2009

Authors

Gheondea, A.
Kavruk, A. Ş.

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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.

Source Title

Opuscula Mathematica

Publisher

Wydawnictwo A G H

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Keywords

Radon-Nikodym derivative, C ∗ - algebra, completely positive map, Similarity

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http://hdl.handle.net/11693/48389

Published Version (Please cite this version)

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

Collections

Scholarly Publications - Mathematics

Language

English

Type

Article