Complex sentence: We can gain intuition for the vvRKHS by taking a component-wise perspective on these spaces, that is, every vvRKHS is isometrically isomorphic to a scalar-valued RKHS on a particular input space.
Split into simpler sentences: We can gain intuition for the vvRKHS by taking a component-wise perspective on these spaces. In particular, we find that every vvRKHS is isometrically isomorphic to a scalar-valued RKHS on a particular input space.