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Adjusted organisation in the TVS chapter.

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Bokuan Li
2026-05-05 21:58:54 -04:00
parent 97372173e1
commit ce56f5d167
12 changed files with 267 additions and 253 deletions
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src/fa/notation.tex
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@@ -8,7 +8,7 @@
$E_A$ & Normed space associated with $A \subset E$. & \autoref{definition:lc-associated-normed-space} \\
$L(E; F)$ & Continuous linear maps $E \to F$. & \autoref{definition:continuous-linear} \\
$L^n(E_1,\ldots,E_n; F)$ & Continuous $n$-linear maps $\prod E_j \to F$. & \autoref{definition:continuous-multilinear} \\
$B(E)$ & Bounded subsets of TVS $E$. & \autoref{definition:bounded} \\
$\mathfrak{B}(E)$ & Bounded subsets of TVS $E$. & \autoref{definition:bounded} \\
$B(T; E)$ & Bounded functions $T \to E$ with uniform topology. & \autoref{definition:bounded-function-space} \\
$B_\mathfrak{S}^k(E; F)$, $B(E; F)$ & $\mathfrak{S}$-bounded $k$-linear maps; bounded linear maps. & \autoref{definition:bounded-linear-map-space} \\
$E^*$ & Topological dual of TVS $E$. & \autoref{definition:topological-dual} \\