2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59675The operator space analogue of the {\em strong form} of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any $C^{*}$-algebraic dual. This is in striking contrast to the situation for $C^{*}$-algebras, since, for example, $K(H)$ does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.33 pagesOperator AlgebrasFunctional Analysis47D15; 46B07; 46B08text