Let \(X\) be a vector space over \(\CC\). A map \(L\colon X \to \CC\) is a linear functional if \[ L(\alpha x + y) = \alpha L(x) + L(y) \quad \text{for all } x,y\in X \text{ and } \alpha\in\CC. \]
Linear functionals
D-EPSKF
D-EPSKF
Let \(X\) be a vector space over \(\CC\). A map \(L\colon X \to \CC\) is a linear functional if \[ L(\alpha x + y) = \alpha L(x) + L(y) \quad \text{for all } x,y\in X \text{ and } \alpha\in\CC. \]