Algebraic and Measurable Sub-Product Systems

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dc.contributor.advisorFloricel, Remus
dc.contributor.authorKrumer, Daniel
dc.contributor.committeememberArgerami, Martin
dc.contributor.committeememberFarenick, Douglas
dc.contributor.externalexaminerMobed, Nader
dc.date.accessioned2019-06-21T20:05:25Z
dc.date.available2019-06-21T20:05:25Z
dc.date.issued2018-12
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 in Mathematics, University of Regina. iv, 70 p.en_US
dc.description.abstractOur main goal, in this thesis, is to conduct a thorough investigation of the math- ematical concept of sub-product system in relation to both quantum dynamical sys- tems and product systems. This notion originates in W. Arveson's pioneering work in non-commutative dynamics theory [5, 7]. The concept has been further extended and analyzed from various perspectives by D. Markiewicz [22], O. Shalit and B. Solel [28], and B.V.R. Bhat and M. Mukherjee [10], among others. The fundamental theme of this thesis is the analysis of relationship between sub- product systems and quantum dynamical semigroups, with emphasis on the role played by certain measurable structures, a role which has often been neglected in the literature. ien_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-8891
dc.identifier.thesisurlhttps://ourspace.uregina.ca/bitstream/handle/10294/8891/Krumer_Daniel_MSC_MATH_Spring2019.pdf
dc.identifier.urihttps://hdl.handle.net/10294/8891
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.titleAlgebraic and Measurable Sub-Product Systemsen_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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