Before revision:  In this work , we broaden this perspectiveby focusing on approximation of functions that are Hilbert-valued, i.e. they take values in a separable, but typically infinite-dimensional, Hilbert space.
After revision:  This work broadens this perspective, focusing on approximating functions that are Hilbert-valued, i.e. they take values in a separable, but typically infinite-dimensional, Hilbert space.