A Radon{Nikodym theorem for completely n-positive linear maps on pro-C¤-algebras and its applications

• Autores: María Joita
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 55-68
• Idioma: inglés
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• Resumen

  • The order relation on the set of completely n-positive linear maps from a pro-C¤- algebra A to L(H), the C¤-algebra of bounded linear operators on a Hilbert space H, is characterized in terms of the representation associated with each completely n-positive linear map. Also, the pure elements in the set of all completely n-positive linear maps from A to L(H) and the extreme points in the set of completely n- positive linear maps from a unital C¤-algebra A to L(H) are characterized in terms of the representation induced by each completely n-positive linear map.