Let $(V,\tau)$ be a topological vector space over $\mathbb{K}$.
If there is a norm $||\cdot||$ on $V$ such that the metric topology induced by $||\cdot||$ is $\tau$, then we call $V$ is normable.
Likewise, if there is an inner product on $V$ such that the metric topology induced by the inner product is $\tau$, what is $V$ called in this case? Inner productable sounds weird..