Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform boundedness deciding sets, and a problem of M. Valdivia   We prove that if a set $B$ in a Banach space $X$ can be written as an
increasing, countable union $B=\cup_n B_n$ of sets $B_n$ such that no $B_n$ is
uniform boundedness deciding, then also $B$ is not uniform boundedness
deciding. From this we can give a positive answer to a question of M. Valdivia.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph