Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jensen's Operator Inequality   We establish what we consider to be the definitive versions of Jensen's
operator inequality and Jensen's trace inequality for functions defined on an
interval. This is accomplished by the introduction of genuine non-commutative
convex combinations of operators, as opposed to the contractions used in
earlier versions of the theory. As a consequence, we no longer need to impose
conditions on the interval of definition. We show how this relates to the
pinching inequality of Davis, and how Jensen's trace inequlity generalizes to
C*-algebras..

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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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: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat