Spectral mapping theorems for point, residual, and bounded approximate point spectra are extended from Banach spaces to strongly continuous locally equicontinuous semigroups on sequentially complete locally convex spaces.
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Spectral theory for semigroups on locally convex spaces
Spectral mapping theorems for point, residual, and bounded approximate point spectra are extended from Banach spaces to strongly continuous locally equicontinuous semigroups on sequentially complete locally convex spaces.