User:Caliburn/s/fa/Definition:Space of Bounded Linear Transformations

Also see

 * Space of Bounded Linear Transformations forms Vector Space shows that $\map B {V, U}$ forms a vector space with pointwise addition and pointwise scalar multiplication.
 * Norm on Space of Bounded Linear Transformations is Norm shows that $\map B {V, U}$ forms a normed vector space.
 * Space of Bounded Linear Transformations is Banach Space shows that $\map B {V, U}$ in fact forms a Banach space.