Countably barrelled space

ID: 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.

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