Complete positivity in operator algebras

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buir.advisorGheondea, Aurelian
dc.contributor.authorKavruk, Ali Şamil
dc.date.accessioned2016-07-01T11:07:37Z
dc.date.available2016-07-01T11:07:37Z
dc.date.issued2006
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractIn 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.provenanceMade available in DSpace on 2016-07-01T11:07:37Z (GMT). No. of bitstreams: 1 0003159.pdf: 426543 bytes, checksum: dcfb2c73b0ac496955e28f23018a1ff7 (MD5) Previous issue date: 2006en
dc.description.statementofresponsibilityKavruk, Ali Şamilen_US
dc.format.extentix, 59 leavesen_US
dc.identifier.itemidBILKUTUPB100117
dc.identifier.urihttp://hdl.handle.net/11693/29872
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectC*-Algebrasen_US
dc.subjectOperator systemsen_US
dc.subjectCompletely positive mapsen_US
dc.subjectStinespring representationen_US
dc.subject.lccQA326 .K39 2006en_US
dc.subject.lcshOperator algebras.en_US
dc.titleComplete positivity in operator algebrasen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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