Kavruk, Ali Şamil2016-07-012016-07-012006http://hdl.handle.net/11693/29872Cataloged from PDF version of article.In this thesis we survey positive and completely positive maps defined on operator systems. In Chapter 3 we study the properties of positive maps as well as construction of positive maps under certain conditions. In Chapter 4 we focus on completely positive maps. We give some conditions on domain and range under which positivity implies complete positivity. The last chapter consists of Stinespring’s dilation theorem and its applications to various areas.ix, 59 leavesEnglishinfo:eu-repo/semantics/openAccessC*-AlgebrasOperator systemsCompletely positive mapsStinespring representationQA326 .K39 2006Operator algebras.ThesisBILKUTUPB100117