It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...

Let $\Omega = \Omega_1 \times \cdots \times \Omega_n (n > 1)$ be a product of n Brelot harmonic spaces each of which has a bounded potential, and let K be a compact subset of Ω. Then, K is an n-polar ...