Countably barrelled space
= Countably barrelled space
{wiki=Countably_barrelled_space}
In functional analysis, a topological vector space \\( X \\) is called **countably barrelled** if every countable set of continuous linear functionals on \\( X \\) that converges pointwise to zero also converges uniformly to zero on every barrel in \\( X \\). A **barrel** is a specific type of convex, balanced, and absorbing set.