  For $p \in (1,\infty)\setminus \{2\}$, some properties of the space
$\mathscr{M}_p$ of multipliers on $\ell^p_A$ are derived. In particular, the
failure of the weak parallelogram laws and the Pythagorean inequalities is
demonstrated for $\mathscr{M}_p$. It is also shown that the extremal
multipliers on the $\ell^p_A$ spaces are exactly the monomials, in stark
contrast to the $p=2$ case.
