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

W.T. Sulaiman

College of Education, Ajman University, P.O. Box 346, Ajman, United Arab Emirates

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.