Epimorphisms of Fréchet Spaces

Abstract

Let S be a set of seminorms on E; S is said to be equicontinuous at the point x° of E if to every ε>0 there is a neighborhood x° + U of x° (U:neighborhood of О in E) such that, for all 𝖕∈S and all x∈x° + U,

$$ |\mathfrak{p}(x) - \mathfrak{p}({x^0}) \leqslant \varepsilon | $$

.