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Reductions and Triangularizations of Sets of Matrices

by Davidson, Colin

Abstract (Summary)
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.
Bibliographical Information:

Advisor:

School:University of Waterloo

School Location:Canada - Ontario

Source Type:Master's Thesis

Keywords:mathematics reductions triangularization matrices spectrum sublinear polynomial trace permutable reducible triangularizable nilpotent approximate

ISBN:

Date of Publication:01/01/2006

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