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Spectral theory for semigroups on locally convex spaces

Published 15 Sep 2025 in math.FA and math.SP | (2509.11931v1)

Abstract: In this paper we provide spectral inclusion and mapping theorems for strongly continuous locally equicontinuous semigroups on Hausdorff locally convex spaces. Our results extend the classical spectral inclusion and mapping theorems for strongly continuous semigroups on Banach spaces.

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