Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the distribution of the discrete spectrum of nuclearly perturbed
  operators in Banach spaces   Let Z_0 be a bounded operator in a Banach space X with purely essential
spectrum and K a nuclear operator in X. Using methods of complex analysis we
study the discrete spectrum of Z_0+K and derive a Lieb-Thirring type
inequality. We obtain estimates for the number of eigenvalues in certain
regions of the complex plane and an estimate for the asymptotics of the
eigenvalues approaching to the essential spectrum of Z_0

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg