Definition:Set of All Linear Transformations/Vector Space

Definition
Let $K$ be a field.

Let $X, Y$ be vector spaces over $K$.

Then $\map {\LL} {X, Y}$ is the set of all linear transformations from $X$ to $Y$:


 * $\map {\LL} {X, Y} := \set {\phi: X \to Y: \phi \mbox{ is a linear transformation} }$