Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Inclusion and Pollution for a Class of Dissipative
  Perturbations   Spectral inclusion and spectral pollution results are proved for sequences of
linear operators of the form $T_0 + i \gamma s_n$ on a Hilbert space, where
$s_n$ is strongly convergent to the identity operator and $\gamma > 0$. We work
in both an abstract setting and a more concrete Sturm-Liouville framework. The
results provide rigorous justification for a method of computing eigenvalues in
spectral gaps.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex