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arXiv · 1309.3433

Uniform openness of multiplication in Banach spaces $L_p$

Marek Balcerzak·Adam Majchrzycki·Filip Strobin
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Abstract

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.

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Marek Balcerzak, Adam Majchrzycki, Filip Strobin. 2013-09-13. Uniform openness of multiplication in Banach spaces $L_p$. https://arxiv.org/abs/1309.3433

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