I have an analysis exercise and I have literally no idea where to start or even a solid comprehension of what the question is. The exercise is as follows:
Now, if I am correct, $\left| \Phi(f)(x)-\Phi(g)(x) \right|= d_{\mu}(\Phi(f),\Phi(g))$, right? And it just means the distance between the two points.
I don't think it is needed but just in case, this is the referred to exercise 6.23:
