%0 Journal Article
%T Uniform openness of multiplication in Banach spaces $L_p$
%A Marek Balcerzak
%A Adam Majchrzycki
%A Filip Strobin
%J Mathematics
%D 2013
%I arXiv
%X We show that multiplication from $L_p\times L_q$ to $L_1$ (for $p,q\in [1,\infty]$, $1/p+1/q=1$) is a uniformly open mapping. We also prove the uniform openness of the multiplication from $\ell_1\times c_0$ to $\ell_1$. This strengthens the former results obtained by M. Balcerzak, A. Majchrzycki and A. Wachowicz.
%U http://arxiv.org/abs/1309.3433v1