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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) 		 
Characterization of Bistochastic Kadison–Schwarz Operators on $M_2(\mathbb C)$

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 $M_2(\mathbb C)$. 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 $M_2(\mathbb C)$”, 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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\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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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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