l-p sequence space
= l-p sequence space
{title2=$\ell^p$}
{wiki=Lp_space}
For $1\le p<\infty$, the space $\ell^p$ consists of scalar sequences $x=(x_n)$ satisfying
$$
\|x\|_p=\left(\sum_{n=1}^\infty|x_n|^p\right)^{1/p}<\infty.
$$
It is a <Banach space>, and $\ell^q\subset\ell^p$ when $1\le q<p$.