International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 8, Pages 507-513
doi:10.1155/S0161171202111331
Completely contractive maps between C*-algebras
College of Education, Ajman University, P.O. Box 346, Ajman, United Arab Emirates
Received 15 November 2001
Copyright © 2002 W. T. Sulaiman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We give a simple proof that any completely contractive map between C*-algebras is the top right hand corner of a two completely positive unital matrix operator. Some well-known results are deduced.