$p$-summable sequence spaces with $2$-inner products
$p$-summable sequence spaces with $2$-inner products
We revisit the space $\ell^p$ of $p$-summable sequences of real numbers. In particular, we show that this space is actually contained in a (weighted) $2$-inner product space. For $p>2$, we also obtain a result which describe how the weighted $2$-inner product space is associated to the weights.