On the description of bistochastic kadisonschwarz operators on M 2(C)

Farrukh Mukhamedov; Abduaziz Abduganiev

doi:10.1142/S1230161210000151

On the description of bistochastic kadisonschwarz operators on M ₂(C)

Farrukh Mukhamedov
, Abduaziz Abduganiev

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper we describe bistochastic Kadison-Schawrz operators on M ₂(C). Such description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of this characterization we can construct KadisonSchawrz operators which are not completely positive.

Original language	English
Pages (from-to)	245-253
Number of pages	9
Journal	Open Systems and Information Dynamics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S1230161210000151
Publication status	Published - Sept 2010
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics

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10.1142/S1230161210000151

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abstract = "In this paper we describe bistochastic Kadison-Schawrz operators on M 2(C). Such description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of this characterization we can construct KadisonSchawrz operators which are not completely positive.",

author = "Farrukh Mukhamedov and Abduaziz Abduganiev",

note = "Funding Information: This work is partially supported by the Malaysian Ministry of Science, Technology and Innovation Grant 01-01-08-SF0079. The finial part of this work was done at the Abdus Salam International Center for Theoretical Physics (ICTP), Trieste, Italy. F.M. thanks the ICTP for providing financial support of his visit (within the scheme of Junior Associate) to ICTP.",

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N2 - In this paper we describe bistochastic Kadison-Schawrz operators on M 2(C). Such description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of this characterization we can construct KadisonSchawrz operators which are not completely positive.

AB - In this paper we describe bistochastic Kadison-Schawrz operators on M 2(C). Such description allows us to find positive, but not Kadison-Schwarz operators. Moreover, by means of this characterization we can construct KadisonSchawrz operators which are not completely positive.

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JO - Open Systems and Information Dynamics

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On the description of bistochastic kadisonschwarz operators on M ₂(C)

Abstract

ASJC Scopus subject areas

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