A Radon-Nikodym theorem for completely n-positive linear maps on pro-C*-algebras and its applications
Operator Algebras
2007-05-23 v1 Functional Analysis
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.
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Cite
@article{arxiv.math/0701263,
title = {A Radon-Nikodym theorem for completely n-positive linear maps on pro-C*-algebras and its applications},
author = {Maria Joita},
journal= {arXiv preprint arXiv:math/0701263},
year = {2007}
}
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14 pages