Reductions and Triangularizations of Sets of Matrices

dc.contributor.author	Davidson, Colin	en
dc.date.accessioned	2007-05-08 14:00:38 (GMT)
dc.date.available	2007-05-08 14:00:38 (GMT)
dc.date.issued	2006	en
dc.date.submitted	2006	en
dc.identifier.uri	http://hdl.handle.net/10012/2918
dc.description.abstract	Families of operators that are triangularizable must necessarily satisfy a number of spectral mapping properties. These necessary conditions are often sufficient as well. This thesis investigates such properties in finite dimensional and infinite dimensional Banach spaces. In addition, we investigate whether approximate spectral mapping conditions (being "close" in some sense) is similarly a sufficient condition.	en
dc.format	application/pdf	en
dc.format.extent	625248 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en	en
dc.publisher	University of Waterloo	en
dc.rights	Copyright: 2006, Davidson, Colin. All rights reserved.	en
dc.subject	Mathematics	en
dc.subject	Reductions	en
dc.subject	Triangularization	en
dc.subject	Matrices	en
dc.subject	Spectrum	en
dc.subject	Sublinear	en
dc.subject	Polynomial	en
dc.subject	Trace	en
dc.subject	Permutable	en
dc.subject	Reducible	en
dc.subject	Triangularizable	en
dc.subject	Nilpotent	en
dc.subject	Approximate	en
dc.title	Reductions and Triangularizations of Sets of Matrices	en
dc.type	Master Thesis	en
dc.pending	false	en
uws-etd.degree.department	Pure Mathematics	en
uws-etd.degree	Master of Mathematics	en
uws.typeOfResource	Text	en
uws.peerReviewStatus	Unreviewed	en
uws.scholarLevel	Graduate	en