We introduce a way of regarding Hilbert von Neumann modules as spaces of
operators between Hilbert space, not unlike [Skei], but in an apparently much
simpler manner and involving far less machinery. We verify that our definition
is equivalent to that of [Skei], by verifying the `Riesz lemma' or what is
called `self-duality' in [Skei]. An advantage with our approach is that we can
totally side-step the need to go through $C^*$-modules and avoid the two stages
of completion - first in norm, then in the strong operator topology - involved
in the former approach.