Added facts about vector measures.
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is a fundamental system of neighbourhoods at $0$ for $E$. Therefore $\norm{\cdot}_E$ induces the topology on $E$.
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\end{proof}
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\begin{theorem}[Successive Approximation]
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\label{theorem:successive-approximation}
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Let $E, F$ be normed spaces, $T \in L(E; F)$, $C \ge 0$, and $\gamma \in (0, 1)$. If for all $y \in F$, there exists $x \in E$ such that:
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