Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaceability of sets of p-compact maps   We provide quite sufficient conditions on the Banach spaces $E$ and $F$ in
order to obtain the spaceability of the set of all linear operators from $E$
into $F$ which are $q$-compact but not $p$-compact. Also, under similar
conditions over $E$, we prove that this set contains (up to the null operator)
a copy of $\ell_s$ whenever $F = \ell_s$. Finally, we give some applications of
our previous results to show the spaceability of some sets formed by non-linear
mappings (polynomial and Lipschitz) which are $q$-compact but not $p$-compact.
The spaceability in the space of holomorphic mappings determined by $p$-compact
sets is also considered.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga