Reductions and Triangularizations of Sets of Matrices
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.
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
Date of Publication:01/01/2006