Optimality of the quantified Ingham-Karamata theorem for operator semigroups with general resolvent growth

17 Aug 2019 Debruyne Gregory Seifert David

We prove that a general version of the quantified Ingham-Karamata theorem for $C_0$-semigroups is sharp under mild conditions on the resolvent growth, thus generalising the results contained in a recent paper by the same authors. It follows in particular that the well-known Batty-Duyckaerts theorem is optimal even for bounded $C_0$-semigroups whose generator has subpolynomial resolvent growth... (read more)

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  • FUNCTIONAL ANALYSIS
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