  We revisit the Krein-von Neumann extension in the case where the underlying
symmetric operator is strictly positive and apply this to derive the explicit
form of the Krein-von Neumann extension for singular, general (i.e.,
three-coefficient) Sturm-Liouville operators on arbitrary intervals. In
particular, the boundary conditions for the Krein-von Neumann extension of the
strictly positive minimal Sturm-Liouville operator are explicitly expressed in
terms of generalized boundary values adapted to the (possible) singularity
structure of the coefficients near an interval endpoint.
