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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 178–191
DOI: https://doi.org/10.4213/tm4179 (Mi tm4179) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of Bistochastic Kadison–Schwarz Operators on M2(C)

Farrukh Mukhamedova, Hasan Akınb

a Department of Mathematical Sciences, College of Science, United Arab Emirates University, 15551 Al Ain, United Arab Emirates
b Gökkuşağı Mahallesi, 1164. Cd. No: 9, 06450 Çankaya, Ankara, Turkey
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DOI: https://doi.org/10.4213/tm4179
Abstract: We characterize bistochastic Kadison–Schwarz operators acting on M2(C). The obtained characterization allows us to find positive operators that are not Kadison–Schwarz ones. Moreover, we provide several examples of Kadison–Schwarz operators which are not completely positive.
Keywords: bistochastic mapping, Kadison–Schwarz operator, complete positivity.
Funding agency Grant number
United Arab Emirates University G00003447
The work is supported by the UAEU UPAR grant (grant code G00003447).
Received: May 16, 2020
Revised: October 5, 2020
Accepted: February 15, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 165–177
DOI: https://doi.org/10.1134/S0081543821020164
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Farrukh Mukhamedov, Hasan Akın, “Characterization of Bistochastic Kadison–Schwarz Operators on M2(C)”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 178–191; Proc. Steklov Inst. Math., 313 (2021), 165–177
Citation in format AMSBIB
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\by Farrukh~Mukhamedov, Hasan~Akın
\paper Characterization of Bistochastic Kadison--Schwarz Operators on $M_2(\mathbb C)$
\inbook Mathematics of Quantum Technologies
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 313
\pages 178--191
\publ Steklov Math. Inst.
\publaddr Moscow
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\crossref{https://doi.org/10.4213/tm4179}
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\pages 165--177
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    • This publication is cited in the following 1 articles:
    1. Dariusz Chruściński, “A Hierarchy of Covariant Generalized Schwarz Maps in M2(ℂ)”, Symmetry, 16:12 (2024), 1655  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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