Generalize Riesz' theorem to locally compact T2 topological vector spaces

[ADedecker]

We have FiniteDimensional.of_locallyCompactSpace, which is the usual Riesz theorem for normed spaces.

More generally, Bourbaki proves the following: if K is a complete NontriviallyNormedField, then any T2 TVS over K which admits some totally bounded neighborhood of zero is finite dimensional.