The singular set of minimal hypersurfaces with second fundamental form in L²

We consider smooth, embedded, minimal $n$-hypersurfaces $M_j$ converging to a stationary varifold $\mathrm{\Sigma }$. Under the assumption that the second fundamental $A_{M_j}$ of $M_j$ is bounded in $L^2$, that is $${\int }_{M_j|{\mathrm{\Lambda }}_{M_j}}^{2}d{H}^n\le {\mathrm{\Lambda }}_0,$$ we prove that the Hausdorff dimension of the singular set is estimated by $$di{m}_{H}singSigmaleqn-2$$