Replaced mentions of normed spaces to normed vector spaces.

src/fa/rs/bv.tex

@@ -16,7 +16,7 @@
 
     is the \textbf{total variation} of $f$ on $[a, b]$ with respect to $\rho$.
 
-    If $E$ is a normed space, then the variation and total variation of $f$ is taken with respect to its norm.
+    If $E$ is a normed vector space, then the variation and total variation of $f$ is taken with respect to its norm.
 \end{definition}
 
 \begin{definition}[Bounded Variation, {{\cite[Proposition X.1.1]{Lang}}}]
@@ -35,7 +35,7 @@
         then $f \in BV([a, b]; E)$ with $[f]_{\text{var}, \rho} \le M_\rho$.
         \item For any $f \in BV([a, b]; E)$ and continuous seminorm $\rho$ on $E$, $\sup_{x \in [a, b]}\rho(f(x)) \le \rho(f(a)) + [f]_{\text{var}, \rho}$.
     \end{enumerate}
-    If $(E, \norm{\cdot}_E)$ is a normed space, then
+    If $(E, \norm{\cdot}_E)$ is a normed vector space, then
     \begin{enumerate}
         \item[(5)] $f$ has at most countably many discontinuities.
     \end{enumerate}