Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Containment of $\c_0$ and $\ell_1$ in $\Pi_1(E,F)$   Suppose $\Pi_1(E, F)$ is the space of all absolutely 1-summing operators
between two Banach spaces $E$ and $F$. We show that if $F$ has a copy of $c_0$,
then $\Pi_1(E, F)$ will have a copy of $c_0$, and under some conditions if $E$
has a copy of $\ell_1$ then $\Pi_1(E, F)$ would have a complemented copy of
$\ell_1$.

28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph