Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Every maximally monotone operator of Fitzpatrick-Phelps type is actually
  of dense type   We show that every maximally monotone operator of Fitzpatrick-Phelps type
defined on a real Banach space must be of dense type. This provides an
affirmative answer to a question posed by Stephen Simons in 2001 and implies
that various important notions of monotonicity coincide.

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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: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom