Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The subspace $c_0$ is not complemented in $ac_0$   We prove that the subspace $c_0$ of sequences that converge to zero is not
complemented in the space $ac_0$ of sequences that almost converge to zero. We
proceed with applying the same approach to inclusion chain $c_0\subset A_0
\subset \ell_\infty$.

10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg