Abstract
In this chapter we first establish a lemma reducing many questions of interest about matrix semigroups to the case of finite groups. We use the lemma to obtain reducibility and triangularizability results from assumptions of various “partial” spectral mapping properties, including sublinearity of spectra and the nilpotence of certain polynomials in semigroup elements.
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© 2000 Springer Science+Business Media New York
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Radjavi, H., Rosenthal, P. (2000). Finiteness Lemmas and Further Spectral Conditions. In: Simultaneous Triangularization. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1200-3_4
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DOI: https://doi.org/10.1007/978-1-4612-1200-3_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98466-7
Online ISBN: 978-1-4612-1200-3
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