\newcommand*{\norm}[1]{\left\lVert{#1}\right\rVert}
% The inner product between its two arguments.
-\newcommand*{\ip}[2]{\langle{#1},{#2}\rangle}
+\newcommand*{\ip}[2]{\left\langle{#1},{#2}\right\rangle}
% The tensor product of its two arguments.
\newcommand*{\tp}[2]{ {#1}\otimes{#2} }