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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
14 pages

Keywords

Operator Algebras, Functional Analysis, 46L05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/121457

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701263
 http://arxiv.org/abs/math/0701263

Collections

arXiv