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Finiteness Lemmas and Further Spectral Conditions

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Part of the Universitext book series (UTX)

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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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  1. 1.Department of MathematicsDalhousie UniversityHalifaxCanada
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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