Completely contractive maps between C*-algebras

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.

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Main Author: W. T. Sulaiman
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202111331
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author W. T. Sulaiman
author_facet W. T. Sulaiman
author_sort W. T. Sulaiman
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description 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.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b073ec5c2a8b499e8692e21635e67ce52025-02-03T06:05:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132850751310.1155/S0161171202111331Completely contractive maps between C*-algebrasW. T. Sulaiman0College of Education, Ajman University, P.O. Box 346, Ajman, United Arab EmiratesWe 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.http://dx.doi.org/10.1155/S0161171202111331
spellingShingle W. T. Sulaiman
Completely contractive maps between C*-algebras
International Journal of Mathematics and Mathematical Sciences
title Completely contractive maps between C*-algebras
title_full Completely contractive maps between C*-algebras
title_fullStr Completely contractive maps between C*-algebras
title_full_unstemmed Completely contractive maps between C*-algebras
title_short Completely contractive maps between C*-algebras
title_sort completely contractive maps between c algebras
url http://dx.doi.org/10.1155/S0161171202111331
work_keys_str_mv AT wtsulaiman completelycontractivemapsbetweencalgebras