Question

Vector spaces

Answer 1

\[l ^{p}=\left\{ <x _{k}>\in \mathbb{R} ^{n} : \sum_{1}^{\infty}|x _{k}|^{p}< \infty\right\}\]
\[p \in \mathbb{N} \]
\[p \ge1\]
Show that \[\left( l ^{p}, +, *, \mathbb{R} \right) \] is vector space