Exercise11.6
Consider the function \(\| \cdot \|:\Rmm \rightarrow \R\) defined by
\begin{equation*} \| A\|_{\widetilde\infty} = \max_{i,j} |a_{ij}|. \end{equation*}Show that this is a norm. Show that it is not sub-multiplicative.
Consider the function \(\| \cdot \|:\Rmm \rightarrow \R\) defined by
\begin{equation*} \| A\|_{\widetilde\infty} = \max_{i,j} |a_{ij}|. \end{equation*}Show that this is a norm. Show that it is not sub-multiplicative.