Spaces Sν, diametral dimension and property (Ω‾)

We provide new developments to extend the formula of the diametral dimension of locally p-convex spaces Sν (Aubry and Bastin, 2010) to some locally pseudoconvex ones. We also use our method to prove that the spaces Sν verify the property (Ω‾) of Vogt and Wagner, in case they are locally p-convex and for some cases of local pseudoconvexity.