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Bowen–Walters expansiveness for semigroups of linear operators
Published online by Cambridge University Press: 18 April 2022
Abstract
We define positively expansive semigroups of linear operators on Banach spaces. We characterize these semigroups in terms of the point spectrum of the infinitesimal generator. In particular, we prove that a positively expansive semigroup is neither uniformly bounded nor equicontinuous. We apply our results to the Lasota equation.
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- © The Author(s), 2022. Published by Cambridge University Press
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