Article thumbnail

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

By Maria Joita

Abstract

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 unital completely n-positive linear maps from A to L(H) are characterized in terms of the representation induced by each completely n-positive linear map.Comment: 14 page

Topics: Mathematics - Operator Algebras, Mathematics - Functional Analysis, 46L05
Year: 2007
OAI identifier: oai:arXiv.org:math/0701263

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.