Definition:Bilinear Space

Definition

Let $\mathbb K$ be a field.

A bilinear space over $\mathbb K$ is a pair $\left({V, f}\right)$ where:

$V$ be a vector space over $\mathbb K$ of finite dimension $n > 0$

$f$ is a bilinear form on $V$.

Also see

• Definition:Quadratic Space