Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost commuting matrices with respect to normalized Hilbert-Schmidt
  norm   Almost-commuting matrices with respect to the normalized Hilbert-Schmidt norm
are considered. Normal almost commuting matrices are proved to be near
commuting.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn