linear functional

Definition

The linear functional on a real vector space $V$ is a function $T : V \to \mathbb{R}$ satisfying:

• $T(v+w) = T(v) + T(w)$
• $T(\alpha v) = \alpha T(v)$

See also

• functional
• Minkowski functional

References

1. https://mathworld.wolfram.com/LinearFunctional.html