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On tensor products of completely positive linear maps between pro-C*-algebras

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Abstract

In this paper we define the tensor products of completely positive linear maps between pro-C*-algebras and discuss about connection between the KSGNS construction associated with the strict completely positive linear maps ρ and θ and the KSGNS construction associated with ρ ⊗ θ.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Chemistry, University of Bucharest, Bd. Regina Elisabeta nr. 4-12, Bucharest, Romania

    Maria Joiţa

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  1. Maria Joiţa
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Correspondence to Maria Joiţa.

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This research was partially supported by CEEX grant -code PR-D11-PT00-48/2005 from The Romanian Ministry of Education and Research and partially by CNCSIS (Romanian National Council for Research in High Education) grant-code A 1065/2006.

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Joiţa, M. On tensor products of completely positive linear maps between pro-C*-algebras. Positivity 13, 307–319 (2009). https://doi.org/10.1007/s11117-008-2147-5

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  • DOI: https://doi.org/10.1007/s11117-008-2147-5

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