  We combine techniques of Orty\'nski \cite{orty} and Moreno and Plichko
\cite{moreplic} to show that, for $0<p<\infty$, every subspace of
$\ell_p(\Gamma)$ having density character $\mathfrak m$ has the form
$\ell_p(\mathfrak m, H_m)$ for some family of subspaces $H_m\subset \ell_p$.
The ideas of Orty\'nski are then applied to obtain unique positions for
Lindenstrauss spaces.
