Banach space of bounded linear operators (source code)

= Banach space of bounded linear operators
{title2=$\mathcal B(X,Y)$}

If $X$ is a normed vector space and $Y$ is a <Banach space>, then the bounded linear maps $\mathcal B(X,Y)$ form a Banach space under the <operator norm>. Completeness of the domain is unnecessary.