%0 Journal Article
%T Uniform boundedness deciding sets, and a problem of M. Valdivia
%A Olav Nygaard
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1409.0102v2