Uniform openness of multiplication in Banach spaces $L_p
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...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1309.3433 |