Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inequalities and equalities on the joint and generalized spectral and
  essential spectral radius of the Hadamard geometric mean of bounded sets of
  positive kernel operators   We prove new inequalities and equalities for the generalized and the joint
spectral radius (and their essential versions) of Hadamard (Schur) geometric
means of bounded sets of positive kernel operators on Banach function spaces.
In the case of nonnegative matrices that define operators on Banach sequences
we obtain additional results. Our results extend results of several authors
that appeared relatively recently.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: dg-ga