]> gitweb.michael.orlitzky.com - mjotex.git/blobdiff - examples.tex
Add my work-in-progress \directsumperp.
[mjotex.git] / examples.tex
index a491bd813ae521de8254498c3afe57f4cfca3dbf..fbbe8608e002736fef5d43c3e0b49da9e9a2179c 100644 (file)
     The set of all bounded linear operators from $V$ to $W$ is
     $\boundedops[W]{V}$. If $W = V$, then we write $\boundedops{V}$
     instead.
+
+    The direct sum of $V$ and $W$ is $\directsum{V}{W}$, of course,
+    but what if $W = V^{\perp}$? Then we wish to indicate that fact by
+    writing $\directsumperp{V}{W}$. That operator should survive a
+    display equation, too:
+    %
+    \begin{align*}
+      Z = \directsumperp{V}{W}\\
+      \oplus\oplusperp\oplus\oplusperp
+    \end{align*}
+    %
+    Its form should also survive in different font sizes...
+    \Large
+    \begin{align*}
+      Z = \directsumperp{V}{W}\\
+      \oplus\oplusperp\oplus\oplusperp
+    \end{align*}
+    \Huge
+    \begin{align*}
+      Z = \directsumperp{V}{W}\\
+      \oplus\oplusperp\oplus\oplusperp
+    \end{align*}
+    \normalsize
   \end{section}
 
   \begin{section}{Listing}