2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70784We study a factorization of bounded linear maps from an operator space $A$ to its dual space $A^*$. It is shown that $T : A \longrightarrow A^*$ factors through a pair of a column Hilbert spaces $\mathcal{H}_c$ and its dual space if and only if $T$ is a bounded linear form on $A \otimes A$ by the canonical identification equipped with a numerical radius type Haagerup norm. As a consequence, we characterize a bounded linear map from a Banach space to its dual space, which factors through a pair of Hilbert spaces.16 pagesOperator Algebras46L07 (Primary) 47L25, 46B28, 46L06 (Secontary)text