Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A decomposition theorem in II_1-factors   Building on results of Haagerup and Schultz, we decompose an arbitrary
operator in a diffuse, finite von Neumann algebra into the sum of a normal
operator and an s.o.t.-quasinilpotent operator. We also prove an analogue of
Weyl's inequality relating eigenvalues and singular values for operators in a
diffuse, finite von Neumann algebra.

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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con