Reductions and Triangularizations of Sets of Matrices

[摘要] 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.

[发布机构] University of Waterloo

[效力级别] Reductions

[关键词] Mathematics;Reductions;Triangularization;Matrices;Spectrum;Sublinear;Polynomial;Trace;Permutable;Reducible;Triangularizable;Nilpotent;Approximate