The Structure of Operator Systems on Finite-Dimensional Hilbert Spaces

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dc.contributor.advisorArgerami, Martin
dc.contributor.authorMwangangi, Sadia Hassan
dc.contributor.committeememberFarenick, Douglas
dc.contributor.committeememberFloricel, Remus
dc.contributor.externalexaminerMobed, Nader
dc.date.accessioned2012-08-31T16:38:02Z
dc.date.available2012-08-31T16:38:02Z
dc.date.issued2012-04
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science degree in Mathematics, University of Regina. v, 65 l.en_US
dc.description.abstractThe purpose of this thesis is to describe in detail the structure of arbitrary operator systems S B(H), where H is assumed to be of finite dimension, using Arveson's non-commutative Choquet theory, and to determine the C* -envelope of S in certain special cases of interest. Arveson classifies these operator systems as either reduced or non-reduced, and we look at these classifications in detail. S is said to be reduced when its boundary ideal is {0} and non-reduced otherwise. We will give examples of 2-dimensional and 3-dimensional operator systems; show what Arveson's parametrization would be in such cases; and determine the C*-envelopes and boundary ideals.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-3561
dc.identifier.thesisurlhttp://ourspace.uregina.ca/bitstream/handle/10294/3561/Mwangangi_Sadia_Hassan_200261688_MSC_MATH_Fall_2012.pdf
dc.identifier.urihttps://hdl.handle.net/10294/3561
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.subject.lcshHilbert space
dc.subject.lcshDimensional analysis
dc.subject.lcshChoquet theory
dc.titleThe Structure of Operator Systems on Finite-Dimensional Hilbert Spacesen_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US
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