Complete positivity in operator algebras
| buir.advisor | Gheondea, Aurelian | |
| dc.contributor.author | Kavruk, Ali Şamil | |
| dc.date.accessioned | 2016-07-01T11:07:37Z | |
| dc.date.available | 2016-07-01T11:07:37Z | |
| dc.date.issued | 2006 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | Kavruk, Ali Şamil | en_US |
| dc.format.extent | ix, 59 leaves | en_US |
| dc.identifier.itemid | BILKUTUPB100117 | |
| dc.identifier.uri | http://hdl.handle.net/11693/29872 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | C*-Algebras | en_US |
| dc.subject | Operator systems | en_US |
| dc.subject | Completely positive maps | en_US |
| dc.subject | Stinespring representation | en_US |
| dc.subject.lcc | QA326 .K39 2006 | en_US |
| dc.subject.lcsh | Operator algebras. | en_US |
| dc.title | Complete positivity in operator algebras | en_US |
| dc.type | Thesis | en_US |
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