Reductions and Triangularizations of Sets of Matrices

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

Davidson, Colin

University of Waterloo

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

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/2918/1/ctdavids2006.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 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.