On matrices for which norm bounds are attained

Hans Schneider, Hans F. Weinberger

Let $\Vert A{\Vert }_{p,q}$ be the norm induced on the matrix $A$ with $n$ rows and $m$ columns by the Hölder ${\ell }_p$ and ${\ell }_q$ norms on $R^n$ and $R^m$ (or $C^n$ and $C^m$), respectivel…