Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a certain class of $\K$ Banach spaces   Using a strengthening of the concept of $\K$ set, introduced in this paper,
we study a certain subclass of the class of $\K$ Banach spaces; the so called
strongly $\K$ Banach spaces. This class of spaces includes subspaces of
strongly weakly compactly generated (SWCG) as well as Polish Banach spaces and
it is related to strongly weakly $\mathcal{K}$--analytic (SWKA) Banach spaces
as the known classes of $\K$ and weakly $\mathcal{K}$--analytic (WKA) Banach
spaces are related.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con