Cobos Díaz, FernandoFernández-Cabrera Marín, Luz MaríaMartínez, Antón2025-01-082025-01-082024https://hdl.handle.net/20.500.14352/113343We extend the (outer) measure $\gamma_{_{\mathcal{I}}}$ associated to an operator ideal $\mathcal{I}$ to a measure $\gamma_{_{\mathfrak{I}}}$ for bounded bilinear operators. If $\mathcal{I}$ is surjective and closed, and $\mathfrak{I}$ is the class of those bilinear operators such that $\gamma_{_{\mathfrak{I}}}(T)=0$, we prove that $\mathfrak{I}$ coincides with the composition bideal $\mathcal{I}\circ \mathfrak{B}$. If $\mathcal{I}$ satisfies the $\Sigma_r$-condition, we establish a simple necessary and sufficient condition for an interpolated operator by the real method to belong to $\mathfrak{I}$. Furthermore, if in addition $\mathcal{I}$ is symmetric, we prove a formula for the measure $\gamma_{_{\mathfrak{I}}}$ of an operator interpolated by the real method. In particular, results apply to weakly compact operators.engjournal articleembargoed accessMeasures associated to bideals of operatorsReal interpolationmeasure of weak non-compactness of a bilinear operatorAdjoint operator of a bilinear operatorCiencias12 Matemáticas