Definition:Non-Archimedean/Norm (Vector Space)/Archimedean

Definition
A norm $\norm {\,\cdot\,} $ on a vector space $X$ is Archimedean it is not non-Archimedean.

That is, :
 * $\exists x, y \in X: \norm {x + y} > \max \set { {\norm {x}, \norm {y} } }$