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Faculty of Graduate Studies and Research, University of Regina
The Hahn-Banach Separation Theorem in Free Convexity
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Name thesis:degree_name
- Master of Science (MSc)
- Level thesis:degree_level
- Master's
- Discipline thesis:degree_discipline
- Mathematics
- Grantor dc:publisher
- Faculty of Graduate Studies and Research, University of Regina
- Year dc:date.issued
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Cui, Bo
- Advisor dc:contributor.advisor
-
- Farenick, Douglas
- Committee member dc:contributor.committeemember
-
- Floricel, Remus
Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:uregina.scholaris.ca:10294/6853