Glasnik matematički, Vol. 44 No. 1, 2009.
Original scientific paper
https://doi.org/10.3336/gm.44.1.11
On the order structure on the set of completely multi-positive linear maps on C*-algebras
Maria Joita
; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania
Tania-Luminita Costache
; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania
Mariana Zamfir
; Department of Mathematics, Faculty of Chemistry, University of Bucharest, Romania
Abstract
In this paper we characterize the order relation on the set of all completely n-positive linear maps on C*-algebras in terms of the representation associated to each completely n-positive linear map given by Suen's construction.
Keywords
C*-algebra; completely multi-positive linear map; Radon-Nikodym type theorem; pure completely multi-positive linear map; extremal completely multi-positive linear map
Hrčak ID:
36952
URI
Publication date:
21.5.2009.
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