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Reductions and Triangularizations of Sets of Matrices

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ctdavids2006.pdf (610.59 KB)

Date

2006

Authors

Davidson, Colin

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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.

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Keywords

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

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Citation

URI

http://hdl.handle.net/10012/2918

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Theses
Pure Mathematics