The Hahn-Banach Separation Theorem in Free Convexity
| dc.contributor.advisor | Farenick, Douglas | |
| dc.contributor.author | Cui, Bo | |
| dc.contributor.committeemember | Floricel, Remus | |
| dc.date.accessioned | 2016-07-27T19:51:36Z | |
| dc.date.available | 2016-07-27T19:51:36Z | |
| dc.date.issued | 2015-12 | |
| dc.description | A 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, 43 p. | en_US |
| dc.description.abstract | This thesis presents and develops theorems on separation in the context of free convexity and matrix convex sets. After presenting a proof of the Hahn-Banach Separation Theorem, the main work in this thesis is a treatment of the Effros-Winkler Hahn-Banach Separation Theorem in the setting of matrix convex sets. This result is subsequently interpreted as a theorem concerning noncommutative sets in free analysis. Lastly, a new and complete characterization (in terms of liner pencils) of the matrix convex hull of a g-tuple of complex matrices is established. | en_US |
| dc.description.authorstatus | Student | en |
| dc.description.peerreview | yes | en |
| dc.identifier.tcnumber | TC-SRU-6853 | |
| dc.identifier.thesisurl | http://ourspace.uregina.ca/bitstream/handle/10294/6853/Cui_Bo_200344811_MSC_MATH_spring2016.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10294/6853 | |
| dc.language.iso | en | en_US |
| dc.publisher | Faculty of Graduate Studies and Research, University of Regina | en_US |
| dc.title | The Hahn-Banach Separation Theorem in Free Convexity | en_US |
| dc.type | Thesis | en |
| thesis.degree.department | Department of Mathematics and Statistics | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.grantor | University of Regina | en |
| thesis.degree.level | Master's | en |
| thesis.degree.name | Master of Science (MSc) | en_US |