Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Von Neumann Type of Trace Inequalities for Schatten-Class Operators   We generalize von Neumann's well-known trace inequality, as well as related
eigenvalue inequalities for hermitian matrices, to Schatten-class operators
between complex Hilbert spaces of infinite dimension. To this end, we exploit
some recent results on the $C$-numerical range of Schatten-class operators. For
the readers' convenience, we sketched the proof of these results in the
Appendix.

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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: econ