Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pinchings and Positive linear maps   We employ the pinching theorem, ensuring that some operators A admit any
sequence of contractions as an operator diagonal of A, to deduce/improve two
recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional
expectations onto a masa in the algebra of operators on a Hilbert space. We
also get a few results for sums in a unitary orbit.

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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th