Davidson, Colin2007-05-082007-05-0820062006http://hdl.handle.net/10012/2918Families 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.application/pdf625248 bytesapplication/pdfenCopyright: 2006, Davidson, Colin. All rights reserved.MathematicsReductionsTriangularizationMatricesSpectrumSublinearPolynomialTracePermutableReducibleTriangularizableNilpotentApproximateMaster Thesis