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

Farrukh Mukhamedov; Hasan Akın

doi:10.1134/S0081543821020164

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

Farrukh Mukhamedov, Hasan Akın

Department of Mathematical Sciences

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

Abstract

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.

Original language	English
Pages (from-to)	165-177
Number of pages	13
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	313
Issue number	1
DOIs	https://doi.org/10.1134/S0081543821020164
Publication status	Published - Jul 2021

Keywords

bistochastic mapping
complete positivity
Kadison–Schwarz operator

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1134/S0081543821020164

Cite this

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title = "Characterization of Bistochastic Kadison–Schwarz Operators on M2(C)",

abstract = "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, complete positivity, Kadison–Schwarz operator",

author = "Farrukh Mukhamedov and Hasan Akın",

note = "Funding Information: The work is supported by the UAEU UPAR grant (grant code G00003447). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

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AU - Mukhamedov, Farrukh

AU - Akın, Hasan

PY - 2021/7

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N2 - 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.

AB - 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.

KW - bistochastic mapping

KW - complete positivity

KW - Kadison–Schwarz operator

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