The Libraries will be performing system maintenance to UWSpace on Thursday, March 13th from 12:30 to 5:30 pm (EDT). UWSpace will be unavailable during this time.
 

Reductions and Triangularizations of Sets of Matrices

Thumbnail Image

Date

2006

Authors

Davidson, Colin

Advisor

Journal Title

Journal ISSN

Volume Title

Publisher

University of Waterloo

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.

Description

Keywords

Mathematics, Reductions, Triangularization, Matrices, Spectrum, Sublinear, Polynomial, Trace, Permutable, Reducible, Triangularizable, Nilpotent, Approximate

LC Subject Headings

Citation