On bistochastic Kadison-Schwarz operators onM2(ℂ)

In this paper we describe bistochastic Kadison-Schawrz operators acting on M2(C). Such a description allows us to �nd positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we are able to construct Kadison-Schawrz operators, which are not completely positive.

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Abduganiev, Abduaziz
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
Online Access:http://irep.iium.edu.my/30078/1/mfaa-JPCS%282013%29.pdf
http://irep.iium.edu.my/30078/
http://iopscience.iop.org/1742-6596/435/1/012018/pdf/1742-6596_435_1_012018.pdf
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Summary:In this paper we describe bistochastic Kadison-Schawrz operators acting on M2(C). Such a description allows us to �nd positive, but not Kadison-Schwarz operators. Moreover, by means of that characterization we are able to construct Kadison-Schawrz operators, which are not completely positive.