Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimality of the quantified Ingham-Karamata theorem for operator
  semigroups with general resolvent growth   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. Our proof is based on an elegant application of the open mapping
theorem, which we complement by a crucial technical lemma allowing us to
strengthen our earlier results.

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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ