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arXiv · 2509.11931

Spectral theory for semigroups on locally convex spaces

Karsten Kruse
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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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Karsten Kruse. 2025-09-15. Spectral theory for semigroups on locally convex spaces. https://doi.org/10.1016/j.jmaa.2026.130889

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