Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary equivalence and similarity to Jordan models for weak
  contractions of class $C_0$   We obtain results on the unitary equivalence of weak contractions of class
$C_0$ to their Jordan models under an assumption on their commutants. In
particular, our work addresses the case of arbitrary finite multiplicity. The
main tool is the theory of boundary representations due to Arveson. We also
generalize and improve previously known results concerning unitary equivalence
and similarity to Jordan models when the minimal function is a Blaschke
product.

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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: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom