Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the size of certain subsets of invariant Banach sequence spaces   The essence of the notion of lineability and spaceability is to find linear
structures in somewhat chaotic environments. The existing methods, in general,
use \textit{ad hoc} arguments and few general techniques are known. Motivated
by the search of general methods, in this paper we formally extend recent
results of G.\ Botelho and V.V. F\'{a}varo on invariant sequence spaces to a
more general setting. Our main results show that some subsets of invariant
sequence spaces contain, up to the null vector, a closed infinite-dimensional
subspace.

0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci