Added barreled spaces.
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@@ -66,7 +66,7 @@
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\item $BV([a, b]; E)$ is a vector space.
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\item For each continuous seminorm $\rho$ on $E$, $[\cdot]_{\text{var}, \rho}$ is a seminorm on $BV([a, b]; E)$.
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\item Let $\fF$ be a filter on $BV([a, b]; E)$ and $f: [a, b] \to E$. If
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\begin{enumerate}
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\begin{enumerate}[label=\alph*]
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\item $\pi_x(\fF) \to f(x)$ for all $x \in [a, b]$.
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\item For every continuous seminorm $\rho$ on $E$, there exists $U \in \fF$ such that $\sup_{g \in U}[g]_{\text{var}, \rho} = M_\rho < \infty$.
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\end{enumerate}
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