Spectral theory for semigroups on locally convex spaces

Karsten Kruse

doi:10.48550/arXiv.2509.11931

Spectral theory for semigroups on locally convex spaces

Karsten Kruse

Research output: Working paper › Preprint › Academic

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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.

Original language	English
Publisher	ArXiv.org
Number of pages	36
DOIs	https://doi.org/10.48550/arXiv.2509.11931
Publication status	Published - 15 Sept 2025

Keywords

math.FA
math.SP
Primary 47A10, 47A25, 47D06 Secondary 46A70

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10.48550/arXiv.2509.11931

2509.11931v1Final published version, 877 KB

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Spectral theory for semigroups on locally convex spaces

Abstract

Keywords

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